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Finding the Third Proportional to 423,652 and 654,270

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Solution

The third proportional to 423,652 and 654,270 is: 1,010,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,652 : 654,270 = 654,270 : x
  2. Step 2: Convert to fraction form
    423,652/654,270 = 654,270/x
  3. Step 3: Cross multiply
    423,652x = 654,270 × 654,270
  4. Step 4: Simplify right side
    423,652x = 428,069,232,900
  5. Step 5: Solve for x
    x = 428,069,232,900/423,652
  6. Step 6: Final answer
    x = 1,010,426.56

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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.