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Finding the Third Proportional to 558,712 and 864,942

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Solution

The third proportional to 558,712 and 864,942 is: 1,339,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,712 : 864,942 = 864,942 : x
  2. Step 2: Convert to fraction form
    558,712/864,942 = 864,942/x
  3. Step 3: Cross multiply
    558,712x = 864,942 × 864,942
  4. Step 4: Simplify right side
    558,712x = 748,124,663,364
  5. Step 5: Solve for x
    x = 748,124,663,364/558,712
  6. Step 6: Final answer
    x = 1,339,016.64

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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.