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Finding the Third Proportional to 432,423,261 and 932,870,862

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Solution

The third proportional to 432,423,261 and 932,870,862 is: 2,012,491,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,423,261 : 932,870,862 = 932,870,862 : x
  2. Step 2: Convert to fraction form
    432,423,261/932,870,862 = 932,870,862/x
  3. Step 3: Cross multiply
    432,423,261x = 932,870,862 × 932,870,862
  4. Step 4: Simplify right side
    432,423,261x = 870,248,045,168,623,104
  5. Step 5: Solve for x
    x = 870,248,045,168,623,104/432,423,261
  6. Step 6: Final answer
    x = 2,012,491,287.25

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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.