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Finding the Third Proportional to 328,156 and 772,646

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Solution

The third proportional to 328,156 and 772,646 is: 1,819,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,156 : 772,646 = 772,646 : x
  2. Step 2: Convert to fraction form
    328,156/772,646 = 772,646/x
  3. Step 3: Cross multiply
    328,156x = 772,646 × 772,646
  4. Step 4: Simplify right side
    328,156x = 596,981,841,316
  5. Step 5: Solve for x
    x = 596,981,841,316/328,156
  6. Step 6: Final answer
    x = 1,819,201.36

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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.