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Finding the Third Proportional to 142,459.50 and 221,459.75

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Solution

The third proportional to 142,459.50 and 221,459.75 is: 344,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,459.50 : 221,459.75 = 221,459.75 : x
  2. Step 2: Convert to fraction form
    142,459.50/221,459.75 = 221,459.75/x
  3. Step 3: Cross multiply
    142,459.50x = 221,459.75 × 221,459.75
  4. Step 4: Simplify right side
    142,459.50x = 49,044,420,870.06
  5. Step 5: Solve for x
    x = 49,044,420,870.06/142,459.50
  6. Step 6: Final answer
    x = 344,269.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.