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Finding the Third Proportional to 405,290 and 608,151

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Solution

The third proportional to 405,290 and 608,151 is: 912,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,290 : 608,151 = 608,151 : x
  2. Step 2: Convert to fraction form
    405,290/608,151 = 608,151/x
  3. Step 3: Cross multiply
    405,290x = 608,151 × 608,151
  4. Step 4: Simplify right side
    405,290x = 369,847,638,801
  5. Step 5: Solve for x
    x = 369,847,638,801/405,290
  6. Step 6: Final answer
    x = 912,550.62

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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.