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Finding the Third Proportional to 290,293.88 and 439,816.50

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Solution

The third proportional to 290,293.88 and 439,816.50 is: 666,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,293.88 : 439,816.50 = 439,816.50 : x
  2. Step 2: Convert to fraction form
    290,293.88/439,816.50 = 439,816.50/x
  3. Step 3: Cross multiply
    290,293.88x = 439,816.50 × 439,816.50
  4. Step 4: Simplify right side
    290,293.88x = 193,438,553,672.25
  5. Step 5: Solve for x
    x = 193,438,553,672.25/290,293.88
  6. Step 6: Final answer
    x = 666,354.24

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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.