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Finding the Third Proportional to 387,534.38 and 831,124.13

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Solution

The third proportional to 387,534.38 and 831,124.13 is: 1,782,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,534.38 : 831,124.13 = 831,124.13 : x
  2. Step 2: Convert to fraction form
    387,534.38/831,124.13 = 831,124.13/x
  3. Step 3: Cross multiply
    387,534.38x = 831,124.13 × 831,124.13
  4. Step 4: Simplify right side
    387,534.38x = 690,767,311,157.02
  5. Step 5: Solve for x
    x = 690,767,311,157.02/387,534.38
  6. Step 6: Final answer
    x = 1,782,467.20

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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.