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Finding the Third Proportional to 103,410 and 155,730

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Solution

The third proportional to 103,410 and 155,730 is: 234,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410 : 155,730 = 155,730 : x
  2. Step 2: Convert to fraction form
    103,410/155,730 = 155,730/x
  3. Step 3: Cross multiply
    103,410x = 155,730 × 155,730
  4. Step 4: Simplify right side
    103,410x = 24,251,832,900
  5. Step 5: Solve for x
    x = 24,251,832,900/103,410
  6. Step 6: Final answer
    x = 234,521.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.