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Finding the Third Proportional to 137,328 and 212,527

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Solution

The third proportional to 137,328 and 212,527 is: 328,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328 : 212,527 = 212,527 : x
  2. Step 2: Convert to fraction form
    137,328/212,527 = 212,527/x
  3. Step 3: Cross multiply
    137,328x = 212,527 × 212,527
  4. Step 4: Simplify right side
    137,328x = 45,167,725,729
  5. Step 5: Solve for x
    x = 45,167,725,729/137,328
  6. Step 6: Final answer
    x = 328,903.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.