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Finding the Third Proportional to 218,363 and 309,319

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Solution

The third proportional to 218,363 and 309,319 is: 438,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,363 : 309,319 = 309,319 : x
  2. Step 2: Convert to fraction form
    218,363/309,319 = 309,319/x
  3. Step 3: Cross multiply
    218,363x = 309,319 × 309,319
  4. Step 4: Simplify right side
    218,363x = 95,678,243,761
  5. Step 5: Solve for x
    x = 95,678,243,761/218,363
  6. Step 6: Final answer
    x = 438,161.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.