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Finding the Third Proportional to 287,855,014 and 420,986,796

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Solution

The third proportional to 287,855,014 and 420,986,796 is: 615,691,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855,014 : 420,986,796 = 420,986,796 : x
  2. Step 2: Convert to fraction form
    287,855,014/420,986,796 = 420,986,796/x
  3. Step 3: Cross multiply
    287,855,014x = 420,986,796 × 420,986,796
  4. Step 4: Simplify right side
    287,855,014x = 177,229,882,406,345,600
  5. Step 5: Solve for x
    x = 177,229,882,406,345,600/287,855,014
  6. Step 6: Final answer
    x = 615,691,489.77

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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.