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Finding the Third Proportional to 309,374 and 655,354

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Solution

The third proportional to 309,374 and 655,354 is: 1,388,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,374 : 655,354 = 655,354 : x
  2. Step 2: Convert to fraction form
    309,374/655,354 = 655,354/x
  3. Step 3: Cross multiply
    309,374x = 655,354 × 655,354
  4. Step 4: Simplify right side
    309,374x = 429,488,865,316
  5. Step 5: Solve for x
    x = 429,488,865,316/309,374
  6. Step 6: Final answer
    x = 1,388,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.