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Finding the Third Proportional to 322,079,361,776 and 480,326,008,432

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Solution

The third proportional to 322,079,361,776 and 480,326,008,432 is: 716,323,682,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,079,361,776 : 480,326,008,432 = 480,326,008,432 : x
  2. Step 2: Convert to fraction form
    322,079,361,776/480,326,008,432 = 480,326,008,432/x
  3. Step 3: Cross multiply
    322,079,361,776x = 480,326,008,432 × 480,326,008,432
  4. Step 4: Simplify right side
    322,079,361,776x = 230,713,074,376,217,750,142,976
  5. Step 5: Solve for x
    x = 230,713,074,376,217,750,142,976/322,079,361,776
  6. Step 6: Final answer
    x = 716,323,682,163.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.