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Finding the Third Proportional to 328,158 and 772,651

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Solution

The third proportional to 328,158 and 772,651 is: 1,819,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,158 : 772,651 = 772,651 : x
  2. Step 2: Convert to fraction form
    328,158/772,651 = 772,651/x
  3. Step 3: Cross multiply
    328,158x = 772,651 × 772,651
  4. Step 4: Simplify right side
    328,158x = 596,989,567,801
  5. Step 5: Solve for x
    x = 596,989,567,801/328,158
  6. Step 6: Final answer
    x = 1,819,213.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.