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Finding the Third Proportional to 560,214 and 868,887

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Solution

The third proportional to 560,214 and 868,887 is: 1,347,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,214 : 868,887 = 868,887 : x
  2. Step 2: Convert to fraction form
    560,214/868,887 = 868,887/x
  3. Step 3: Cross multiply
    560,214x = 868,887 × 868,887
  4. Step 4: Simplify right side
    560,214x = 754,964,618,769
  5. Step 5: Solve for x
    x = 754,964,618,769/560,214
  6. Step 6: Final answer
    x = 1,347,636.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.