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Finding the Third Proportional to 288,212,800 and 424,696,128

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Solution

The third proportional to 288,212,800 and 424,696,128 is: 625,811,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,212,800 : 424,696,128 = 424,696,128 : x
  2. Step 2: Convert to fraction form
    288,212,800/424,696,128 = 424,696,128/x
  3. Step 3: Cross multiply
    288,212,800x = 424,696,128 × 424,696,128
  4. Step 4: Simplify right side
    288,212,800x = 180,366,801,138,192,384
  5. Step 5: Solve for x
    x = 180,366,801,138,192,384/288,212,800
  6. Step 6: Final answer
    x = 625,811,210.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.