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Finding the Third Proportional to 357,073.31 and 553,242.66

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Solution

The third proportional to 357,073.31 and 553,242.66 is: 857,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,073.31 : 553,242.66 = 553,242.66 : x
  2. Step 2: Convert to fraction form
    357,073.31/553,242.66 = 553,242.66/x
  3. Step 3: Cross multiply
    357,073.31x = 553,242.66 × 553,242.66
  4. Step 4: Simplify right side
    357,073.31x = 306,077,436,694.56
  5. Step 5: Solve for x
    x = 306,077,436,694.56/357,073.31
  6. Step 6: Final answer
    x = 857,183.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.