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Finding the Third Proportional to 313,697 and 486,426

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Solution

The third proportional to 313,697 and 486,426 is: 754,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,697 : 486,426 = 486,426 : x
  2. Step 2: Convert to fraction form
    313,697/486,426 = 486,426/x
  3. Step 3: Cross multiply
    313,697x = 486,426 × 486,426
  4. Step 4: Simplify right side
    313,697x = 236,610,253,476
  5. Step 5: Solve for x
    x = 236,610,253,476/313,697
  6. Step 6: Final answer
    x = 754,263.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.