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Finding the Third Proportional to 343,850 and 747,478

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Solution

The third proportional to 343,850 and 747,478 is: 1,624,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,850 : 747,478 = 747,478 : x
  2. Step 2: Convert to fraction form
    343,850/747,478 = 747,478/x
  3. Step 3: Cross multiply
    343,850x = 747,478 × 747,478
  4. Step 4: Simplify right side
    343,850x = 558,723,360,484
  5. Step 5: Solve for x
    x = 558,723,360,484/343,850
  6. Step 6: Final answer
    x = 1,624,904.35

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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.