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Finding the Third Proportional to 282,570 and 424,487.25

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Solution

The third proportional to 282,570 and 424,487.25 is: 637,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,570 : 424,487.25 = 424,487.25 : x
  2. Step 2: Convert to fraction form
    282,570/424,487.25 = 424,487.25/x
  3. Step 3: Cross multiply
    282,570x = 424,487.25 × 424,487.25
  4. Step 4: Simplify right side
    282,570x = 180,189,425,412.56
  5. Step 5: Solve for x
    x = 180,189,425,412.56/282,570
  6. Step 6: Final answer
    x = 637,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.