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Finding the Third Proportional to 385,133.06 and 831,160.69

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Solution

The third proportional to 385,133.06 and 831,160.69 is: 1,793,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,133.06 : 831,160.69 = 831,160.69 : x
  2. Step 2: Convert to fraction form
    385,133.06/831,160.69 = 831,160.69/x
  3. Step 3: Cross multiply
    385,133.06x = 831,160.69 × 831,160.69
  4. Step 4: Simplify right side
    385,133.06x = 690,828,088,445.47
  5. Step 5: Solve for x
    x = 690,828,088,445.47/385,133.06
  6. Step 6: Final answer
    x = 1,793,738.72

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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.