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Finding the Third Proportional to 139,984 and 302,432

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Solution

The third proportional to 139,984 and 302,432 is: 653,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984 : 302,432 = 302,432 : x
  2. Step 2: Convert to fraction form
    139,984/302,432 = 302,432/x
  3. Step 3: Cross multiply
    139,984x = 302,432 × 302,432
  4. Step 4: Simplify right side
    139,984x = 91,465,114,624
  5. Step 5: Solve for x
    x = 91,465,114,624/139,984
  6. Step 6: Final answer
    x = 653,396.92

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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.