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Finding the Third Proportional to 272,167 and 423,153

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Solution

The third proportional to 272,167 and 423,153 is: 657,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,167 : 423,153 = 423,153 : x
  2. Step 2: Convert to fraction form
    272,167/423,153 = 423,153/x
  3. Step 3: Cross multiply
    272,167x = 423,153 × 423,153
  4. Step 4: Simplify right side
    272,167x = 179,058,461,409
  5. Step 5: Solve for x
    x = 179,058,461,409/272,167
  6. Step 6: Final answer
    x = 657,899.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.