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Finding the Third Proportional to 386,397 and 591,069

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Solution

The third proportional to 386,397 and 591,069 is: 904,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,397 : 591,069 = 591,069 : x
  2. Step 2: Convert to fraction form
    386,397/591,069 = 591,069/x
  3. Step 3: Cross multiply
    386,397x = 591,069 × 591,069
  4. Step 4: Simplify right side
    386,397x = 349,362,562,761
  5. Step 5: Solve for x
    x = 349,362,562,761/386,397
  6. Step 6: Final answer
    x = 904,154.44

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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.