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Finding the Third Proportional to 432,423,260 and 932,870,860

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Solution

The third proportional to 432,423,260 and 932,870,860 is: 2,012,491,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,423,260 : 932,870,860 = 932,870,860 : x
  2. Step 2: Convert to fraction form
    432,423,260/932,870,860 = 932,870,860/x
  3. Step 3: Cross multiply
    432,423,260x = 932,870,860 × 932,870,860
  4. Step 4: Simplify right side
    432,423,260x = 870,248,041,437,139,584
  5. Step 5: Solve for x
    x = 870,248,041,437,139,584/432,423,260
  6. Step 6: Final answer
    x = 2,012,491,283.28

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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.