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Finding the Third Proportional to 118,432 and 254,432

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Solution

The third proportional to 118,432 and 254,432 is: 546,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,432 : 254,432 = 254,432 : x
  2. Step 2: Convert to fraction form
    118,432/254,432 = 254,432/x
  3. Step 3: Cross multiply
    118,432x = 254,432 × 254,432
  4. Step 4: Simplify right side
    118,432x = 64,735,642,624
  5. Step 5: Solve for x
    x = 64,735,642,624/118,432
  6. Step 6: Final answer
    x = 546,606.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.