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Finding the Third Proportional to 30,432 and 65,724

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Solution

The third proportional to 30,432 and 65,724 is: 141,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,432 : 65,724 = 65,724 : x
  2. Step 2: Convert to fraction form
    30,432/65,724 = 65,724/x
  3. Step 3: Cross multiply
    30,432x = 65,724 × 65,724
  4. Step 4: Simplify right side
    30,432x = 4,319,644,176
  5. Step 5: Solve for x
    x = 4,319,644,176/30,432
  6. Step 6: Final answer
    x = 141,944.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.