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Finding the Third Proportional to 279,362 and 432,478

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Solution

The third proportional to 279,362 and 432,478 is: 669,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,362 : 432,478 = 432,478 : x
  2. Step 2: Convert to fraction form
    279,362/432,478 = 432,478/x
  3. Step 3: Cross multiply
    279,362x = 432,478 × 432,478
  4. Step 4: Simplify right side
    279,362x = 187,037,220,484
  5. Step 5: Solve for x
    x = 187,037,220,484/279,362
  6. Step 6: Final answer
    x = 669,515.61

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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.