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Finding the Third Proportional to 405,290 and 592,302

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Solution

The third proportional to 405,290 and 592,302 is: 865,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,290 : 592,302 = 592,302 : x
  2. Step 2: Convert to fraction form
    405,290/592,302 = 592,302/x
  3. Step 3: Cross multiply
    405,290x = 592,302 × 592,302
  4. Step 4: Simplify right side
    405,290x = 350,821,659,204
  5. Step 5: Solve for x
    x = 350,821,659,204/405,290
  6. Step 6: Final answer
    x = 865,606.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.