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Finding the Third Proportional to 390,997.13 and 856,720.13

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Solution

The third proportional to 390,997.13 and 856,720.13 is: 1,877,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,997.13 : 856,720.13 = 856,720.13 : x
  2. Step 2: Convert to fraction form
    390,997.13/856,720.13 = 856,720.13/x
  3. Step 3: Cross multiply
    390,997.13x = 856,720.13 × 856,720.13
  4. Step 4: Simplify right side
    390,997.13x = 733,969,372,580.02
  5. Step 5: Solve for x
    x = 733,969,372,580.02/390,997.13
  6. Step 6: Final answer
    x = 1,877,173.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.