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Finding the Third Proportional to 282,412 and 440,290.50

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Solution

The third proportional to 282,412 and 440,290.50 is: 686,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,412 : 440,290.50 = 440,290.50 : x
  2. Step 2: Convert to fraction form
    282,412/440,290.50 = 440,290.50/x
  3. Step 3: Cross multiply
    282,412x = 440,290.50 × 440,290.50
  4. Step 4: Simplify right side
    282,412x = 193,855,724,390.25
  5. Step 5: Solve for x
    x = 193,855,724,390.25/282,412
  6. Step 6: Final answer
    x = 686,428.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.