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Finding the Third Proportional to 258,790 and 411,513

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Solution

The third proportional to 258,790 and 411,513 is: 654,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,790 : 411,513 = 411,513 : x
  2. Step 2: Convert to fraction form
    258,790/411,513 = 411,513/x
  3. Step 3: Cross multiply
    258,790x = 411,513 × 411,513
  4. Step 4: Simplify right side
    258,790x = 169,342,949,169
  5. Step 5: Solve for x
    x = 169,342,949,169/258,790
  6. Step 6: Final answer
    x = 654,364.35

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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.