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Finding the Third Proportional to 320,155.50 and 698,266.50

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Solution

The third proportional to 320,155.50 and 698,266.50 is: 1,522,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,155.50 : 698,266.50 = 698,266.50 : x
  2. Step 2: Convert to fraction form
    320,155.50/698,266.50 = 698,266.50/x
  3. Step 3: Cross multiply
    320,155.50x = 698,266.50 × 698,266.50
  4. Step 4: Simplify right side
    320,155.50x = 487,576,105,022.25
  5. Step 5: Solve for x
    x = 487,576,105,022.25/320,155.50
  6. Step 6: Final answer
    x = 1,522,935.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.