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Finding the Third Proportional to 61,348 and 136,520

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Solution

The third proportional to 61,348 and 136,520 is: 303,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,348 : 136,520 = 136,520 : x
  2. Step 2: Convert to fraction form
    61,348/136,520 = 136,520/x
  3. Step 3: Cross multiply
    61,348x = 136,520 × 136,520
  4. Step 4: Simplify right side
    61,348x = 18,637,710,400
  5. Step 5: Solve for x
    x = 18,637,710,400/61,348
  6. Step 6: Final answer
    x = 303,803.06

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.