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Finding the Third Proportional to 240,486 and 380,784

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Solution

The third proportional to 240,486 and 380,784 is: 602,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,486 : 380,784 = 380,784 : x
  2. Step 2: Convert to fraction form
    240,486/380,784 = 380,784/x
  3. Step 3: Cross multiply
    240,486x = 380,784 × 380,784
  4. Step 4: Simplify right side
    240,486x = 144,996,454,656
  5. Step 5: Solve for x
    x = 144,996,454,656/240,486
  6. Step 6: Final answer
    x = 602,930.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.