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Finding the Third Proportional to 356,160 and 547,680

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Solution

The third proportional to 356,160 and 547,680 is: 842,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,160 : 547,680 = 547,680 : x
  2. Step 2: Convert to fraction form
    356,160/547,680 = 547,680/x
  3. Step 3: Cross multiply
    356,160x = 547,680 × 547,680
  4. Step 4: Simplify right side
    356,160x = 299,953,382,400
  5. Step 5: Solve for x
    x = 299,953,382,400/356,160
  6. Step 6: Final answer
    x = 842,187.17

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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.