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Finding the Third Proportional to 328,377 and 709,146

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Solution

The third proportional to 328,377 and 709,146 is: 1,531,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,377 : 709,146 = 709,146 : x
  2. Step 2: Convert to fraction form
    328,377/709,146 = 709,146/x
  3. Step 3: Cross multiply
    328,377x = 709,146 × 709,146
  4. Step 4: Simplify right side
    328,377x = 502,888,049,316
  5. Step 5: Solve for x
    x = 502,888,049,316/328,377
  6. Step 6: Final answer
    x = 1,531,435.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.