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Finding the Third Proportional to 147,789 and 216,442

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Solution

The third proportional to 147,789 and 216,442 is: 316,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,789 : 216,442 = 216,442 : x
  2. Step 2: Convert to fraction form
    147,789/216,442 = 216,442/x
  3. Step 3: Cross multiply
    147,789x = 216,442 × 216,442
  4. Step 4: Simplify right side
    147,789x = 46,847,139,364
  5. Step 5: Solve for x
    x = 46,847,139,364/147,789
  6. Step 6: Final answer
    x = 316,986.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.