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Finding the Third Proportional to 162,715.50 and 353,421

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Solution

The third proportional to 162,715.50 and 353,421 is: 767,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,715.50 : 353,421 = 353,421 : x
  2. Step 2: Convert to fraction form
    162,715.50/353,421 = 353,421/x
  3. Step 3: Cross multiply
    162,715.50x = 353,421 × 353,421
  4. Step 4: Simplify right side
    162,715.50x = 124,906,403,241
  5. Step 5: Solve for x
    x = 124,906,403,241/162,715.50
  6. Step 6: Final answer
    x = 767,636.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.