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Finding the Third Proportional to 295,822.13 and 638,928

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Solution

The third proportional to 295,822.13 and 638,928 is: 1,379,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,822.13 : 638,928 = 638,928 : x
  2. Step 2: Convert to fraction form
    295,822.13/638,928 = 638,928/x
  3. Step 3: Cross multiply
    295,822.13x = 638,928 × 638,928
  4. Step 4: Simplify right side
    295,822.13x = 408,228,989,184
  5. Step 5: Solve for x
    x = 408,228,989,184/295,822.13
  6. Step 6: Final answer
    x = 1,379,981.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.