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Finding the Third Proportional to 9,128,182.50 and 19,778,517

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Solution

The third proportional to 9,128,182.50 and 19,778,517 is: 42,855,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128,182.50 : 19,778,517 = 19,778,517 : x
  2. Step 2: Convert to fraction form
    9,128,182.50/19,778,517 = 19,778,517/x
  3. Step 3: Cross multiply
    9,128,182.50x = 19,778,517 × 19,778,517
  4. Step 4: Simplify right side
    9,128,182.50x = 391,189,734,719,289
  5. Step 5: Solve for x
    x = 391,189,734,719,289/9,128,182.50
  6. Step 6: Final answer
    x = 42,855,161.44

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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.