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Finding the Third Proportional to 302,505 and 399,301.50

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Solution

The third proportional to 302,505 and 399,301.50 is: 527,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,505 : 399,301.50 = 399,301.50 : x
  2. Step 2: Convert to fraction form
    302,505/399,301.50 = 399,301.50/x
  3. Step 3: Cross multiply
    302,505x = 399,301.50 × 399,301.50
  4. Step 4: Simplify right side
    302,505x = 159,441,687,902.25
  5. Step 5: Solve for x
    x = 159,441,687,902.25/302,505
  6. Step 6: Final answer
    x = 527,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.