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Finding the Third Proportional to 288,370.13 and 619,427.25

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Solution

The third proportional to 288,370.13 and 619,427.25 is: 1,330,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,370.13 : 619,427.25 = 619,427.25 : x
  2. Step 2: Convert to fraction form
    288,370.13/619,427.25 = 619,427.25/x
  3. Step 3: Cross multiply
    288,370.13x = 619,427.25 × 619,427.25
  4. Step 4: Simplify right side
    288,370.13x = 383,690,118,042.56
  5. Step 5: Solve for x
    x = 383,690,118,042.56/288,370.13
  6. Step 6: Final answer
    x = 1,330,547.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.