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Finding the Third Proportional to 290,392.50 and 439,966.13

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Solution

The third proportional to 290,392.50 and 439,966.13 is: 666,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,392.50 : 439,966.13 = 439,966.13 : x
  2. Step 2: Convert to fraction form
    290,392.50/439,966.13 = 439,966.13/x
  3. Step 3: Cross multiply
    290,392.50x = 439,966.13 × 439,966.13
  4. Step 4: Simplify right side
    290,392.50x = 193,570,191,147.52
  5. Step 5: Solve for x
    x = 193,570,191,147.52/290,392.50
  6. Step 6: Final answer
    x = 666,581.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.