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Finding the Third Proportional to 380,142 and 531,461

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Solution

The third proportional to 380,142 and 531,461 is: 743,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,142 : 531,461 = 531,461 : x
  2. Step 2: Convert to fraction form
    380,142/531,461 = 531,461/x
  3. Step 3: Cross multiply
    380,142x = 531,461 × 531,461
  4. Step 4: Simplify right side
    380,142x = 282,450,794,521
  5. Step 5: Solve for x
    x = 282,450,794,521/380,142
  6. Step 6: Final answer
    x = 743,013.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.