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Finding the Third Proportional to 82,393,128 and 121,067,352

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Solution

The third proportional to 82,393,128 and 121,067,352 is: 177,894,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393,128 : 121,067,352 = 121,067,352 : x
  2. Step 2: Convert to fraction form
    82,393,128/121,067,352 = 121,067,352/x
  3. Step 3: Cross multiply
    82,393,128x = 121,067,352 × 121,067,352
  4. Step 4: Simplify right side
    82,393,128x = 14,657,303,720,291,904
  5. Step 5: Solve for x
    x = 14,657,303,720,291,904/82,393,128
  6. Step 6: Final answer
    x = 177,894,735.59

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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.