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Finding the Third Proportional to 315,646 and 425,274

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Solution

The third proportional to 315,646 and 425,274 is: 572,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,646 : 425,274 = 425,274 : x
  2. Step 2: Convert to fraction form
    315,646/425,274 = 425,274/x
  3. Step 3: Cross multiply
    315,646x = 425,274 × 425,274
  4. Step 4: Simplify right side
    315,646x = 180,857,975,076
  5. Step 5: Solve for x
    x = 180,857,975,076/315,646
  6. Step 6: Final answer
    x = 572,977.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.