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Finding the Third Proportional to 122,352 and 258,528

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Solution

The third proportional to 122,352 and 258,528 is: 546,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,352 : 258,528 = 258,528 : x
  2. Step 2: Convert to fraction form
    122,352/258,528 = 258,528/x
  3. Step 3: Cross multiply
    122,352x = 258,528 × 258,528
  4. Step 4: Simplify right side
    122,352x = 66,836,726,784
  5. Step 5: Solve for x
    x = 66,836,726,784/122,352
  6. Step 6: Final answer
    x = 546,265.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.