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Finding the Third Proportional to 288,606.75 and 434,641.31

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Solution

The third proportional to 288,606.75 and 434,641.31 is: 654,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,606.75 : 434,641.31 = 434,641.31 : x
  2. Step 2: Convert to fraction form
    288,606.75/434,641.31 = 434,641.31/x
  3. Step 3: Cross multiply
    288,606.75x = 434,641.31 × 434,641.31
  4. Step 4: Simplify right side
    288,606.75x = 188,913,070,531.72
  5. Step 5: Solve for x
    x = 188,913,070,531.72/288,606.75
  6. Step 6: Final answer
    x = 654,569.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.