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Finding the Third Proportional to 305,604 and 722,586

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Solution

The third proportional to 305,604 and 722,586 is: 1,708,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,604 : 722,586 = 722,586 : x
  2. Step 2: Convert to fraction form
    305,604/722,586 = 722,586/x
  3. Step 3: Cross multiply
    305,604x = 722,586 × 722,586
  4. Step 4: Simplify right side
    305,604x = 522,130,527,396
  5. Step 5: Solve for x
    x = 522,130,527,396/305,604
  6. Step 6: Final answer
    x = 1,708,519.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.