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Finding the Third Proportional to 287,855,187.75 and 420,987,061.13

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Solution

The third proportional to 287,855,187.75 and 420,987,061.13 is: 615,691,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855,187.75 : 420,987,061.13 = 420,987,061.13 : x
  2. Step 2: Convert to fraction form
    287,855,187.75/420,987,061.13 = 420,987,061.13/x
  3. Step 3: Cross multiply
    287,855,187.75x = 420,987,061.13 × 420,987,061.13
  4. Step 4: Simplify right side
    287,855,187.75x = 177,230,105,634,664,480
  5. Step 5: Solve for x
    x = 177,230,105,634,664,480/287,855,187.75
  6. Step 6: Final answer
    x = 615,691,893.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.