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Finding the Third Proportional to 343,359 and 393,417

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Solution

The third proportional to 343,359 and 393,417 is: 450,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,359 : 393,417 = 393,417 : x
  2. Step 2: Convert to fraction form
    343,359/393,417 = 393,417/x
  3. Step 3: Cross multiply
    343,359x = 393,417 × 393,417
  4. Step 4: Simplify right side
    343,359x = 154,776,935,889
  5. Step 5: Solve for x
    x = 154,776,935,889/343,359
  6. Step 6: Final answer
    x = 450,772.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.