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Finding the Third Proportional to 315,126 and 674,550

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Solution

The third proportional to 315,126 and 674,550 is: 1,443,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,126 : 674,550 = 674,550 : x
  2. Step 2: Convert to fraction form
    315,126/674,550 = 674,550/x
  3. Step 3: Cross multiply
    315,126x = 674,550 × 674,550
  4. Step 4: Simplify right side
    315,126x = 455,017,702,500
  5. Step 5: Solve for x
    x = 455,017,702,500/315,126
  6. Step 6: Final answer
    x = 1,443,923.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.