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Finding the Third Proportional to 315,642 and 425,268

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Solution

The third proportional to 315,642 and 425,268 is: 572,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,642 : 425,268 = 425,268 : x
  2. Step 2: Convert to fraction form
    315,642/425,268 = 425,268/x
  3. Step 3: Cross multiply
    315,642x = 425,268 × 425,268
  4. Step 4: Simplify right side
    315,642x = 180,852,871,824
  5. Step 5: Solve for x
    x = 180,852,871,824/315,642
  6. Step 6: Final answer
    x = 572,968.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.