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Finding the Third Proportional to 390,532 and 590,118

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Solution

The third proportional to 390,532 and 590,118 is: 891,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,532 : 590,118 = 590,118 : x
  2. Step 2: Convert to fraction form
    390,532/590,118 = 590,118/x
  3. Step 3: Cross multiply
    390,532x = 590,118 × 590,118
  4. Step 4: Simplify right side
    390,532x = 348,239,253,924
  5. Step 5: Solve for x
    x = 348,239,253,924/390,532
  6. Step 6: Final answer
    x = 891,704.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.