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Finding the Third Proportional to 374,275 and 812,521

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Solution

The third proportional to 374,275 and 812,521 is: 1,763,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,275 : 812,521 = 812,521 : x
  2. Step 2: Convert to fraction form
    374,275/812,521 = 812,521/x
  3. Step 3: Cross multiply
    374,275x = 812,521 × 812,521
  4. Step 4: Simplify right side
    374,275x = 660,190,375,441
  5. Step 5: Solve for x
    x = 660,190,375,441/374,275
  6. Step 6: Final answer
    x = 1,763,917.91

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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.