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Finding the Third Proportional to 256,501.13 and 393,702.75

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Solution

The third proportional to 256,501.13 and 393,702.75 is: 604,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,501.13 : 393,702.75 = 393,702.75 : x
  2. Step 2: Convert to fraction form
    256,501.13/393,702.75 = 393,702.75/x
  3. Step 3: Cross multiply
    256,501.13x = 393,702.75 × 393,702.75
  4. Step 4: Simplify right side
    256,501.13x = 155,001,855,357.56
  5. Step 5: Solve for x
    x = 155,001,855,357.56/256,501.13
  6. Step 6: Final answer
    x = 604,293.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.