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Finding the Third Proportional to 295,912 and 638,480

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Solution

The third proportional to 295,912 and 638,480 is: 1,377,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,912 : 638,480 = 638,480 : x
  2. Step 2: Convert to fraction form
    295,912/638,480 = 638,480/x
  3. Step 3: Cross multiply
    295,912x = 638,480 × 638,480
  4. Step 4: Simplify right side
    295,912x = 407,656,710,400
  5. Step 5: Solve for x
    x = 407,656,710,400/295,912
  6. Step 6: Final answer
    x = 1,377,628.18

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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.