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Finding the Third Proportional to 393,417 and 577,211

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Solution

The third proportional to 393,417 and 577,211 is: 846,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,417 : 577,211 = 577,211 : x
  2. Step 2: Convert to fraction form
    393,417/577,211 = 577,211/x
  3. Step 3: Cross multiply
    393,417x = 577,211 × 577,211
  4. Step 4: Simplify right side
    393,417x = 333,172,538,521
  5. Step 5: Solve for x
    x = 333,172,538,521/393,417
  6. Step 6: Final answer
    x = 846,868.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.