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Finding the Third Proportional to 142,860 and 212,598

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Solution

The third proportional to 142,860 and 212,598 is: 316,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,860 : 212,598 = 212,598 : x
  2. Step 2: Convert to fraction form
    142,860/212,598 = 212,598/x
  3. Step 3: Cross multiply
    142,860x = 212,598 × 212,598
  4. Step 4: Simplify right side
    142,860x = 45,197,909,604
  5. Step 5: Solve for x
    x = 45,197,909,604/142,860
  6. Step 6: Final answer
    x = 316,379.04

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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.