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Finding the Third Proportional to 287,891,100.75 and 621,656,326.13

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Solution

The third proportional to 287,891,100.75 and 621,656,326.13 is: 1,342,370,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,891,100.75 : 621,656,326.13 = 621,656,326.13 : x
  2. Step 2: Convert to fraction form
    287,891,100.75/621,656,326.13 = 621,656,326.13/x
  3. Step 3: Cross multiply
    287,891,100.75x = 621,656,326.13 × 621,656,326.13
  4. Step 4: Simplify right side
    287,891,100.75x = 386,456,587,811,232,384
  5. Step 5: Solve for x
    x = 386,456,587,811,232,384/287,891,100.75
  6. Step 6: Final answer
    x = 1,342,370,732.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.