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Finding the Third Proportional to 357,220 and 485,139

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Solution

The third proportional to 357,220 and 485,139 is: 658,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,220 : 485,139 = 485,139 : x
  2. Step 2: Convert to fraction form
    357,220/485,139 = 485,139/x
  3. Step 3: Cross multiply
    357,220x = 485,139 × 485,139
  4. Step 4: Simplify right side
    357,220x = 235,359,849,321
  5. Step 5: Solve for x
    x = 235,359,849,321/357,220
  6. Step 6: Final answer
    x = 658,865.26

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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.