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Finding the Third Proportional to 258,748 and 411,450

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Solution

The third proportional to 258,748 and 411,450 is: 654,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,748 : 411,450 = 411,450 : x
  2. Step 2: Convert to fraction form
    258,748/411,450 = 411,450/x
  3. Step 3: Cross multiply
    258,748x = 411,450 × 411,450
  4. Step 4: Simplify right side
    258,748x = 169,291,102,500
  5. Step 5: Solve for x
    x = 169,291,102,500/258,748
  6. Step 6: Final answer
    x = 654,270.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.