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Finding the Third Proportional to 142,419.38 and 221,405.06

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Solution

The third proportional to 142,419.38 and 221,405.06 is: 344,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419.38 : 221,405.06 = 221,405.06 : x
  2. Step 2: Convert to fraction form
    142,419.38/221,405.06 = 221,405.06/x
  3. Step 3: Cross multiply
    142,419.38x = 221,405.06 × 221,405.06
  4. Step 4: Simplify right side
    142,419.38x = 49,020,201,700.63
  5. Step 5: Solve for x
    x = 49,020,201,700.63/142,419.38
  6. Step 6: Final answer
    x = 344,196.16

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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.