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Finding the Third Proportional to 85,142,346 and 129,838,963

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Solution

The third proportional to 85,142,346 and 129,838,963 is: 197,999,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142,346 : 129,838,963 = 129,838,963 : x
  2. Step 2: Convert to fraction form
    85,142,346/129,838,963 = 129,838,963/x
  3. Step 3: Cross multiply
    85,142,346x = 129,838,963 × 129,838,963
  4. Step 4: Simplify right side
    85,142,346x = 16,858,156,312,915,368
  5. Step 5: Solve for x
    x = 16,858,156,312,915,368/85,142,346
  6. Step 6: Final answer
    x = 197,999,668.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.