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Finding the Third Proportional to 182,503 and 390,221

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Solution

The third proportional to 182,503 and 390,221 is: 834,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,503 : 390,221 = 390,221 : x
  2. Step 2: Convert to fraction form
    182,503/390,221 = 390,221/x
  3. Step 3: Cross multiply
    182,503x = 390,221 × 390,221
  4. Step 4: Simplify right side
    182,503x = 152,272,428,841
  5. Step 5: Solve for x
    x = 152,272,428,841/182,503
  6. Step 6: Final answer
    x = 834,355.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.