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Finding the Third Proportional to 272,169 and 423,157.50

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Solution

The third proportional to 272,169 and 423,157.50 is: 657,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,169 : 423,157.50 = 423,157.50 : x
  2. Step 2: Convert to fraction form
    272,169/423,157.50 = 423,157.50/x
  3. Step 3: Cross multiply
    272,169x = 423,157.50 × 423,157.50
  4. Step 4: Simplify right side
    272,169x = 179,062,269,806.25
  5. Step 5: Solve for x
    x = 179,062,269,806.25/272,169
  6. Step 6: Final answer
    x = 657,908.39

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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.