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Finding the Third Proportional to 215,426 and 328,971

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Solution

The third proportional to 215,426 and 328,971 is: 502,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,426 : 328,971 = 328,971 : x
  2. Step 2: Convert to fraction form
    215,426/328,971 = 328,971/x
  3. Step 3: Cross multiply
    215,426x = 328,971 × 328,971
  4. Step 4: Simplify right side
    215,426x = 108,221,918,841
  5. Step 5: Solve for x
    x = 108,221,918,841/215,426
  6. Step 6: Final answer
    x = 502,362.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.