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Finding the Third Proportional to 112,643 and 157,482

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Solution

The third proportional to 112,643 and 157,482 is: 220,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,643 : 157,482 = 157,482 : x
  2. Step 2: Convert to fraction form
    112,643/157,482 = 157,482/x
  3. Step 3: Cross multiply
    112,643x = 157,482 × 157,482
  4. Step 4: Simplify right side
    112,643x = 24,800,580,324
  5. Step 5: Solve for x
    x = 24,800,580,324/112,643
  6. Step 6: Final answer
    x = 220,169.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.