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Finding the Third Proportional to 142,810 and 212,651

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Solution

The third proportional to 142,810 and 212,651 is: 316,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,810 : 212,651 = 212,651 : x
  2. Step 2: Convert to fraction form
    142,810/212,651 = 212,651/x
  3. Step 3: Cross multiply
    142,810x = 212,651 × 212,651
  4. Step 4: Simplify right side
    142,810x = 45,220,447,801
  5. Step 5: Solve for x
    x = 45,220,447,801/142,810
  6. Step 6: Final answer
    x = 316,647.63

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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.