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Finding the Third Proportional to 315,648 and 425,277

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Solution

The third proportional to 315,648 and 425,277 is: 572,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,648 : 425,277 = 425,277 : x
  2. Step 2: Convert to fraction form
    315,648/425,277 = 425,277/x
  3. Step 3: Cross multiply
    315,648x = 425,277 × 425,277
  4. Step 4: Simplify right side
    315,648x = 180,860,526,729
  5. Step 5: Solve for x
    x = 180,860,526,729/315,648
  6. Step 6: Final answer
    x = 572,981.70

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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.