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Finding the Third Proportional to 155,000 and 316,560

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Solution

The third proportional to 155,000 and 316,560 is: 646,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,000 : 316,560 = 316,560 : x
  2. Step 2: Convert to fraction form
    155,000/316,560 = 316,560/x
  3. Step 3: Cross multiply
    155,000x = 316,560 × 316,560
  4. Step 4: Simplify right side
    155,000x = 100,210,233,600
  5. Step 5: Solve for x
    x = 100,210,233,600/155,000
  6. Step 6: Final answer
    x = 646,517.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.