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Finding the Third Proportional to 357,548.87 and 530,138.20

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Solution

The third proportional to 357,548.87 and 530,138.20 is: 786,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,548.87 : 530,138.20 = 530,138.20 : x
  2. Step 2: Convert to fraction form
    357,548.87/530,138.20 = 530,138.20/x
  3. Step 3: Cross multiply
    357,548.87x = 530,138.20 × 530,138.20
  4. Step 4: Simplify right side
    357,548.87x = 281,046,508,200.04
  5. Step 5: Solve for x
    x = 281,046,508,200.04/357,548.87
  6. Step 6: Final answer
    x = 786,036.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.