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Finding the Third Proportional to 160,872 and 346,536

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Solution

The third proportional to 160,872 and 346,536 is: 746,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,872 : 346,536 = 346,536 : x
  2. Step 2: Convert to fraction form
    160,872/346,536 = 346,536/x
  3. Step 3: Cross multiply
    160,872x = 346,536 × 346,536
  4. Step 4: Simplify right side
    160,872x = 120,087,199,296
  5. Step 5: Solve for x
    x = 120,087,199,296/160,872
  6. Step 6: Final answer
    x = 746,476.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.