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Finding the Third Proportional to 249,621.75 and 380,872.13

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Solution

The third proportional to 249,621.75 and 380,872.13 is: 581,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,621.75 : 380,872.13 = 380,872.13 : x
  2. Step 2: Convert to fraction form
    249,621.75/380,872.13 = 380,872.13/x
  3. Step 3: Cross multiply
    249,621.75x = 380,872.13 × 380,872.13
  4. Step 4: Simplify right side
    249,621.75x = 145,063,575,602.02
  5. Step 5: Solve for x
    x = 145,063,575,602.02/249,621.75
  6. Step 6: Final answer
    x = 581,133.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.