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Finding the Third Proportional to 423,656 and 654,276

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Solution

The third proportional to 423,656 and 654,276 is: 1,010,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,656 : 654,276 = 654,276 : x
  2. Step 2: Convert to fraction form
    423,656/654,276 = 654,276/x
  3. Step 3: Cross multiply
    423,656x = 654,276 × 654,276
  4. Step 4: Simplify right side
    423,656x = 428,077,084,176
  5. Step 5: Solve for x
    x = 428,077,084,176/423,656
  6. Step 6: Final answer
    x = 1,010,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.