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Finding the Third Proportional to 630,640 and 1,458,448

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Solution

The third proportional to 630,640 and 1,458,448 is: 3,372,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,640 : 1,458,448 = 1,458,448 : x
  2. Step 2: Convert to fraction form
    630,640/1,458,448 = 1,458,448/x
  3. Step 3: Cross multiply
    630,640x = 1,458,448 × 1,458,448
  4. Step 4: Simplify right side
    630,640x = 2,127,070,568,704
  5. Step 5: Solve for x
    x = 2,127,070,568,704/630,640
  6. Step 6: Final answer
    x = 3,372,876.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.