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Finding the Third Proportional to 315,216 and 674,715

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Solution

The third proportional to 315,216 and 674,715 is: 1,444,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,216 : 674,715 = 674,715 : x
  2. Step 2: Convert to fraction form
    315,216/674,715 = 674,715/x
  3. Step 3: Cross multiply
    315,216x = 674,715 × 674,715
  4. Step 4: Simplify right side
    315,216x = 455,240,331,225
  5. Step 5: Solve for x
    x = 455,240,331,225/315,216
  6. Step 6: Final answer
    x = 1,444,217.08

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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.