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Finding the Third Proportional to 145,114.50 and 218,523

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Solution

The third proportional to 145,114.50 and 218,523 is: 329,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114.50 : 218,523 = 218,523 : x
  2. Step 2: Convert to fraction form
    145,114.50/218,523 = 218,523/x
  3. Step 3: Cross multiply
    145,114.50x = 218,523 × 218,523
  4. Step 4: Simplify right side
    145,114.50x = 47,752,301,529
  5. Step 5: Solve for x
    x = 47,752,301,529/145,114.50
  6. Step 6: Final answer
    x = 329,066.37

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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.