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Finding the Third Proportional to 715,438 and 1,516,169

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Solution

The third proportional to 715,438 and 1,516,169 is: 3,213,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,438 : 1,516,169 = 1,516,169 : x
  2. Step 2: Convert to fraction form
    715,438/1,516,169 = 1,516,169/x
  3. Step 3: Cross multiply
    715,438x = 1,516,169 × 1,516,169
  4. Step 4: Simplify right side
    715,438x = 2,298,768,436,561
  5. Step 5: Solve for x
    x = 2,298,768,436,561/715,438
  6. Step 6: Final answer
    x = 3,213,092.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.