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Finding the Third Proportional to 172,702.13 and 258,103.13

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Solution

The third proportional to 172,702.13 and 258,103.13 is: 385,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,702.13 : 258,103.13 = 258,103.13 : x
  2. Step 2: Convert to fraction form
    172,702.13/258,103.13 = 258,103.13/x
  3. Step 3: Cross multiply
    172,702.13x = 258,103.13 × 258,103.13
  4. Step 4: Simplify right side
    172,702.13x = 66,617,223,134.77
  5. Step 5: Solve for x
    x = 66,617,223,134.77/172,702.13
  6. Step 6: Final answer
    x = 385,734.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.