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Finding the Third Proportional to 417,418 and 913,556

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Solution

The third proportional to 417,418 and 913,556 is: 1,999,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,418 : 913,556 = 913,556 : x
  2. Step 2: Convert to fraction form
    417,418/913,556 = 913,556/x
  3. Step 3: Cross multiply
    417,418x = 913,556 × 913,556
  4. Step 4: Simplify right side
    417,418x = 834,584,565,136
  5. Step 5: Solve for x
    x = 834,584,565,136/417,418
  6. Step 6: Final answer
    x = 1,999,397.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.