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Finding the Third Proportional to 64,909 and 94,810

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Solution

The third proportional to 64,909 and 94,810 is: 138,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,909 : 94,810 = 94,810 : x
  2. Step 2: Convert to fraction form
    64,909/94,810 = 94,810/x
  3. Step 3: Cross multiply
    64,909x = 94,810 × 94,810
  4. Step 4: Simplify right side
    64,909x = 8,988,936,100
  5. Step 5: Solve for x
    x = 8,988,936,100/64,909
  6. Step 6: Final answer
    x = 138,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.