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Finding the Third Proportional to 432,423,267 and 932,870,874

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Solution

The third proportional to 432,423,267 and 932,870,874 is: 2,012,491,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,423,267 : 932,870,874 = 932,870,874 : x
  2. Step 2: Convert to fraction form
    432,423,267/932,870,874 = 932,870,874/x
  3. Step 3: Cross multiply
    432,423,267x = 932,870,874 × 932,870,874
  4. Step 4: Simplify right side
    432,423,267x = 870,248,067,557,523,840
  5. Step 5: Solve for x
    x = 870,248,067,557,523,840/432,423,267
  6. Step 6: Final answer
    x = 2,012,491,311.11

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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.