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Finding the Third Proportional to 392,426.44 and 831,547.69

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Solution

The third proportional to 392,426.44 and 831,547.69 is: 1,762,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,426.44 : 831,547.69 = 831,547.69 : x
  2. Step 2: Convert to fraction form
    392,426.44/831,547.69 = 831,547.69/x
  3. Step 3: Cross multiply
    392,426.44x = 831,547.69 × 831,547.69
  4. Step 4: Simplify right side
    392,426.44x = 691,471,556,586.60
  5. Step 5: Solve for x
    x = 691,471,556,586.60/392,426.44
  6. Step 6: Final answer
    x = 1,762,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.