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Finding the Third Proportional to 458,418 and 708,363

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Solution

The third proportional to 458,418 and 708,363 is: 1,094,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,418 : 708,363 = 708,363 : x
  2. Step 2: Convert to fraction form
    458,418/708,363 = 708,363/x
  3. Step 3: Cross multiply
    458,418x = 708,363 × 708,363
  4. Step 4: Simplify right side
    458,418x = 501,778,139,769
  5. Step 5: Solve for x
    x = 501,778,139,769/458,418
  6. Step 6: Final answer
    x = 1,094,586.47

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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.