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Finding the Third Proportional to 320,125.50 and 741,128.06

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Solution

The third proportional to 320,125.50 and 741,128.06 is: 1,715,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,125.50 : 741,128.06 = 741,128.06 : x
  2. Step 2: Convert to fraction form
    320,125.50/741,128.06 = 741,128.06/x
  3. Step 3: Cross multiply
    320,125.50x = 741,128.06 × 741,128.06
  4. Step 4: Simplify right side
    320,125.50x = 549,270,805,025.00
  5. Step 5: Solve for x
    x = 549,270,805,025.00/320,125.50
  6. Step 6: Final answer
    x = 1,715,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.