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Finding the Third Proportional to 74,830 and 124,701

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Solution

The third proportional to 74,830 and 124,701 is: 207,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,830 : 124,701 = 124,701 : x
  2. Step 2: Convert to fraction form
    74,830/124,701 = 124,701/x
  3. Step 3: Cross multiply
    74,830x = 124,701 × 124,701
  4. Step 4: Simplify right side
    74,830x = 15,550,339,401
  5. Step 5: Solve for x
    x = 15,550,339,401/74,830
  6. Step 6: Final answer
    x = 207,808.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.