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Finding the Third Proportional to 121,802,475 and 287,441,464.50

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Solution

The third proportional to 121,802,475 and 287,441,464.50 is: 678,332,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,802,475 : 287,441,464.50 = 287,441,464.50 : x
  2. Step 2: Convert to fraction form
    121,802,475/287,441,464.50 = 287,441,464.50/x
  3. Step 3: Cross multiply
    121,802,475x = 287,441,464.50 × 287,441,464.50
  4. Step 4: Simplify right side
    121,802,475x = 82,622,595,513,904,768
  5. Step 5: Solve for x
    x = 82,622,595,513,904,768/121,802,475
  6. Step 6: Final answer
    x = 678,332,648.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.