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Finding the Third Proportional to 282,513 and 418,881

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Solution

The third proportional to 282,513 and 418,881 is: 621,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,513 : 418,881 = 418,881 : x
  2. Step 2: Convert to fraction form
    282,513/418,881 = 418,881/x
  3. Step 3: Cross multiply
    282,513x = 418,881 × 418,881
  4. Step 4: Simplify right side
    282,513x = 175,461,292,161
  5. Step 5: Solve for x
    x = 175,461,292,161/282,513
  6. Step 6: Final answer
    x = 621,073.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.