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Finding the Third Proportional to 282,140 and 382,748

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Solution

The third proportional to 282,140 and 382,748 is: 519,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,140 : 382,748 = 382,748 : x
  2. Step 2: Convert to fraction form
    282,140/382,748 = 382,748/x
  3. Step 3: Cross multiply
    282,140x = 382,748 × 382,748
  4. Step 4: Simplify right side
    282,140x = 146,496,031,504
  5. Step 5: Solve for x
    x = 146,496,031,504/282,140
  6. Step 6: Final answer
    x = 519,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.