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Finding the Third Proportional to 120,454 and 187,354

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Solution

The third proportional to 120,454 and 187,354 is: 291,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,454 : 187,354 = 187,354 : x
  2. Step 2: Convert to fraction form
    120,454/187,354 = 187,354/x
  3. Step 3: Cross multiply
    120,454x = 187,354 × 187,354
  4. Step 4: Simplify right side
    120,454x = 35,101,521,316
  5. Step 5: Solve for x
    x = 35,101,521,316/120,454
  6. Step 6: Final answer
    x = 291,410.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.