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Finding the Third Proportional to 412,428 and 618,450

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Solution

The third proportional to 412,428 and 618,450 is: 927,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,428 : 618,450 = 618,450 : x
  2. Step 2: Convert to fraction form
    412,428/618,450 = 618,450/x
  3. Step 3: Cross multiply
    412,428x = 618,450 × 618,450
  4. Step 4: Simplify right side
    412,428x = 382,480,402,500
  5. Step 5: Solve for x
    x = 382,480,402,500/412,428
  6. Step 6: Final answer
    x = 927,387.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.