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Finding the Third Proportional to 163,720 and 351,358

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Solution

The third proportional to 163,720 and 351,358 is: 754,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,720 : 351,358 = 351,358 : x
  2. Step 2: Convert to fraction form
    163,720/351,358 = 351,358/x
  3. Step 3: Cross multiply
    163,720x = 351,358 × 351,358
  4. Step 4: Simplify right side
    163,720x = 123,452,444,164
  5. Step 5: Solve for x
    x = 123,452,444,164/163,720
  6. Step 6: Final answer
    x = 754,046.20

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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.