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Finding the Third Proportional to 421,710 and 674,478

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Solution

The third proportional to 421,710 and 674,478 is: 1,078,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,710 : 674,478 = 674,478 : x
  2. Step 2: Convert to fraction form
    421,710/674,478 = 674,478/x
  3. Step 3: Cross multiply
    421,710x = 674,478 × 674,478
  4. Step 4: Simplify right side
    421,710x = 454,920,572,484
  5. Step 5: Solve for x
    x = 454,920,572,484/421,710
  6. Step 6: Final answer
    x = 1,078,752.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.