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Finding the Third Proportional to 57,008 and 85,854

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Solution

The third proportional to 57,008 and 85,854 is: 129,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,008 : 85,854 = 85,854 : x
  2. Step 2: Convert to fraction form
    57,008/85,854 = 85,854/x
  3. Step 3: Cross multiply
    57,008x = 85,854 × 85,854
  4. Step 4: Simplify right side
    57,008x = 7,370,909,316
  5. Step 5: Solve for x
    x = 7,370,909,316/57,008
  6. Step 6: Final answer
    x = 129,296.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.