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Finding the Third Proportional to 392,377 and 840,802.75

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Solution

The third proportional to 392,377 and 840,802.75 is: 1,801,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,377 : 840,802.75 = 840,802.75 : x
  2. Step 2: Convert to fraction form
    392,377/840,802.75 = 840,802.75/x
  3. Step 3: Cross multiply
    392,377x = 840,802.75 × 840,802.75
  4. Step 4: Simplify right side
    392,377x = 706,949,264,407.56
  5. Step 5: Solve for x
    x = 706,949,264,407.56/392,377
  6. Step 6: Final answer
    x = 1,801,709.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.