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Finding the Third Proportional to 315,229 and 674,746

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Solution

The third proportional to 315,229 and 674,746 is: 1,444,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,229 : 674,746 = 674,746 : x
  2. Step 2: Convert to fraction form
    315,229/674,746 = 674,746/x
  3. Step 3: Cross multiply
    315,229x = 674,746 × 674,746
  4. Step 4: Simplify right side
    315,229x = 455,282,164,516
  5. Step 5: Solve for x
    x = 455,282,164,516/315,229
  6. Step 6: Final answer
    x = 1,444,290.23

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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.