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Finding the Third Proportional to 139,350.38 and 221,459.06

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Solution

The third proportional to 139,350.38 and 221,459.06 is: 351,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,350.38 : 221,459.06 = 221,459.06 : x
  2. Step 2: Convert to fraction form
    139,350.38/221,459.06 = 221,459.06/x
  3. Step 3: Cross multiply
    139,350.38x = 221,459.06 × 221,459.06
  4. Step 4: Simplify right side
    139,350.38x = 49,044,116,363.38
  5. Step 5: Solve for x
    x = 49,044,116,363.38/139,350.38
  6. Step 6: Final answer
    x = 351,948.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.