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Finding the Third Proportional to 577,564 and 861,558

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Solution

The third proportional to 577,564 and 861,558 is: 1,285,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,564 : 861,558 = 861,558 : x
  2. Step 2: Convert to fraction form
    577,564/861,558 = 861,558/x
  3. Step 3: Cross multiply
    577,564x = 861,558 × 861,558
  4. Step 4: Simplify right side
    577,564x = 742,282,187,364
  5. Step 5: Solve for x
    x = 742,282,187,364/577,564
  6. Step 6: Final answer
    x = 1,285,194.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.