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Finding the Third Proportional to 328,398 and 709,184

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Solution

The third proportional to 328,398 and 709,184 is: 1,531,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,398 : 709,184 = 709,184 : x
  2. Step 2: Convert to fraction form
    328,398/709,184 = 709,184/x
  3. Step 3: Cross multiply
    328,398x = 709,184 × 709,184
  4. Step 4: Simplify right side
    328,398x = 502,941,945,856
  5. Step 5: Solve for x
    x = 502,941,945,856/328,398
  6. Step 6: Final answer
    x = 1,531,501.25

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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.