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Finding the Third Proportional to 129,298,464 and 287,294,796

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Solution

The third proportional to 129,298,464 and 287,294,796 is: 638,354,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298,464 : 287,294,796 = 287,294,796 : x
  2. Step 2: Convert to fraction form
    129,298,464/287,294,796 = 287,294,796/x
  3. Step 3: Cross multiply
    129,298,464x = 287,294,796 × 287,294,796
  4. Step 4: Simplify right side
    129,298,464x = 82,538,299,808,681,616
  5. Step 5: Solve for x
    x = 82,538,299,808,681,616/129,298,464
  6. Step 6: Final answer
    x = 638,354,836.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.