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Finding the Third Proportional to 460,902.66 and 940,098.66

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Solution

The third proportional to 460,902.66 and 940,098.66 is: 1,917,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,902.66 : 940,098.66 = 940,098.66 : x
  2. Step 2: Convert to fraction form
    460,902.66/940,098.66 = 940,098.66/x
  3. Step 3: Cross multiply
    460,902.66x = 940,098.66 × 940,098.66
  4. Step 4: Simplify right side
    460,902.66x = 883,785,483,483.06
  5. Step 5: Solve for x
    x = 883,785,483,483.06/460,902.66
  6. Step 6: Final answer
    x = 1,917,510.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.