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Finding the Third Proportional to 74,348 and 152,320

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Solution

The third proportional to 74,348 and 152,320 is: 312,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,348 : 152,320 = 152,320 : x
  2. Step 2: Convert to fraction form
    74,348/152,320 = 152,320/x
  3. Step 3: Cross multiply
    74,348x = 152,320 × 152,320
  4. Step 4: Simplify right side
    74,348x = 23,201,382,400
  5. Step 5: Solve for x
    x = 23,201,382,400/74,348
  6. Step 6: Final answer
    x = 312,064.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.