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Finding the Third Proportional to 57,894 and 85,209

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Solution

The third proportional to 57,894 and 85,209 is: 125,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894 : 85,209 = 85,209 : x
  2. Step 2: Convert to fraction form
    57,894/85,209 = 85,209/x
  3. Step 3: Cross multiply
    57,894x = 85,209 × 85,209
  4. Step 4: Simplify right side
    57,894x = 7,260,573,681
  5. Step 5: Solve for x
    x = 7,260,573,681/57,894
  6. Step 6: Final answer
    x = 125,411.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.