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Finding the Third Proportional to 397,287.28 and 510,117.75

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Solution

The third proportional to 397,287.28 and 510,117.75 is: 654,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287.28 : 510,117.75 = 510,117.75 : x
  2. Step 2: Convert to fraction form
    397,287.28/510,117.75 = 510,117.75/x
  3. Step 3: Cross multiply
    397,287.28x = 510,117.75 × 510,117.75
  4. Step 4: Simplify right side
    397,287.28x = 260,220,118,865.06
  5. Step 5: Solve for x
    x = 260,220,118,865.06/397,287.28
  6. Step 6: Final answer
    x = 654,992.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.