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Finding the Third Proportional to 258,754 and 411,459

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Solution

The third proportional to 258,754 and 411,459 is: 654,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,754 : 411,459 = 411,459 : x
  2. Step 2: Convert to fraction form
    258,754/411,459 = 411,459/x
  3. Step 3: Cross multiply
    258,754x = 411,459 × 411,459
  4. Step 4: Simplify right side
    258,754x = 169,298,508,681
  5. Step 5: Solve for x
    x = 169,298,508,681/258,754
  6. Step 6: Final answer
    x = 654,283.64

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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.