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Finding the Third Proportional to 142,438 and 211,461

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Solution

The third proportional to 142,438 and 211,461 is: 313,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438 : 211,461 = 211,461 : x
  2. Step 2: Convert to fraction form
    142,438/211,461 = 211,461/x
  3. Step 3: Cross multiply
    142,438x = 211,461 × 211,461
  4. Step 4: Simplify right side
    142,438x = 44,715,754,521
  5. Step 5: Solve for x
    x = 44,715,754,521/142,438
  6. Step 6: Final answer
    x = 313,931.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.