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Finding the Third Proportional to 137,742 and 212,688

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Solution

The third proportional to 137,742 and 212,688 is: 328,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,742 : 212,688 = 212,688 : x
  2. Step 2: Convert to fraction form
    137,742/212,688 = 212,688/x
  3. Step 3: Cross multiply
    137,742x = 212,688 × 212,688
  4. Step 4: Simplify right side
    137,742x = 45,236,185,344
  5. Step 5: Solve for x
    x = 45,236,185,344/137,742
  6. Step 6: Final answer
    x = 328,412.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.