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Finding the Third Proportional to 57,359 and 85,417

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Solution

The third proportional to 57,359 and 85,417 is: 127,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,359 : 85,417 = 85,417 : x
  2. Step 2: Convert to fraction form
    57,359/85,417 = 85,417/x
  3. Step 3: Cross multiply
    57,359x = 85,417 × 85,417
  4. Step 4: Simplify right side
    57,359x = 7,296,063,889
  5. Step 5: Solve for x
    x = 7,296,063,889/57,359
  6. Step 6: Final answer
    x = 127,199.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.