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Finding the Third Proportional to 357,142.50 and 485,038.13

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Solution

The third proportional to 357,142.50 and 485,038.13 is: 658,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,142.50 : 485,038.13 = 485,038.13 : x
  2. Step 2: Convert to fraction form
    357,142.50/485,038.13 = 485,038.13/x
  3. Step 3: Cross multiply
    357,142.50x = 485,038.13 × 485,038.13
  4. Step 4: Simplify right side
    357,142.50x = 235,261,982,703.52
  5. Step 5: Solve for x
    x = 235,261,982,703.52/357,142.50
  6. Step 6: Final answer
    x = 658,734.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.