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Finding the Third Proportional to 386,343 and 591,000

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Solution

The third proportional to 386,343 and 591,000 is: 904,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,343 : 591,000 = 591,000 : x
  2. Step 2: Convert to fraction form
    386,343/591,000 = 591,000/x
  3. Step 3: Cross multiply
    386,343x = 591,000 × 591,000
  4. Step 4: Simplify right side
    386,343x = 349,281,000,000
  5. Step 5: Solve for x
    x = 349,281,000,000/386,343
  6. Step 6: Final answer
    x = 904,069.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.