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Finding the Third Proportional to 272,031 and 408,047

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Solution

The third proportional to 272,031 and 408,047 is: 612,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031 : 408,047 = 408,047 : x
  2. Step 2: Convert to fraction form
    272,031/408,047 = 408,047/x
  3. Step 3: Cross multiply
    272,031x = 408,047 × 408,047
  4. Step 4: Simplify right side
    272,031x = 166,502,354,209
  5. Step 5: Solve for x
    x = 166,502,354,209/272,031
  6. Step 6: Final answer
    x = 612,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.