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Finding the Third Proportional to 385,133.06 and 831,159.56

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Solution

The third proportional to 385,133.06 and 831,159.56 is: 1,793,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,133.06 : 831,159.56 = 831,159.56 : x
  2. Step 2: Convert to fraction form
    385,133.06/831,159.56 = 831,159.56/x
  3. Step 3: Cross multiply
    385,133.06x = 831,159.56 × 831,159.56
  4. Step 4: Simplify right side
    385,133.06x = 690,826,218,335.19
  5. Step 5: Solve for x
    x = 690,826,218,335.19/385,133.06
  6. Step 6: Final answer
    x = 1,793,733.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.