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Finding the Third Proportional to 489,730 and 717,828

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Solution

The third proportional to 489,730 and 717,828 is: 1,052,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,730 : 717,828 = 717,828 : x
  2. Step 2: Convert to fraction form
    489,730/717,828 = 717,828/x
  3. Step 3: Cross multiply
    489,730x = 717,828 × 717,828
  4. Step 4: Simplify right side
    489,730x = 515,277,037,584
  5. Step 5: Solve for x
    x = 515,277,037,584/489,730
  6. Step 6: Final answer
    x = 1,052,165.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.