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Finding the Third Proportional to 256,231.69 and 560,728.13

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Solution

The third proportional to 256,231.69 and 560,728.13 is: 1,227,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,231.69 : 560,728.13 = 560,728.13 : x
  2. Step 2: Convert to fraction form
    256,231.69/560,728.13 = 560,728.13/x
  3. Step 3: Cross multiply
    256,231.69x = 560,728.13 × 560,728.13
  4. Step 4: Simplify right side
    256,231.69x = 314,416,030,166.02
  5. Step 5: Solve for x
    x = 314,416,030,166.02/256,231.69
  6. Step 6: Final answer
    x = 1,227,077.08

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1.5x scale

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.