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Finding the Third Proportional to 387,470.25 and 834,312.38

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Solution

The third proportional to 387,470.25 and 834,312.38 is: 1,796,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,470.25 : 834,312.38 = 834,312.38 : x
  2. Step 2: Convert to fraction form
    387,470.25/834,312.38 = 834,312.38/x
  3. Step 3: Cross multiply
    387,470.25x = 834,312.38 × 834,312.38
  4. Step 4: Simplify right side
    387,470.25x = 696,077,139,078.14
  5. Step 5: Solve for x
    x = 696,077,139,078.14/387,470.25
  6. Step 6: Final answer
    x = 1,796,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.