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Finding the Third Proportional to 240,417 and 380,695

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Solution

The third proportional to 240,417 and 380,695 is: 602,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,417 : 380,695 = 380,695 : x
  2. Step 2: Convert to fraction form
    240,417/380,695 = 380,695/x
  3. Step 3: Cross multiply
    240,417x = 380,695 × 380,695
  4. Step 4: Simplify right side
    240,417x = 144,928,683,025
  5. Step 5: Solve for x
    x = 144,928,683,025/240,417
  6. Step 6: Final answer
    x = 602,822.11

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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.