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Finding the Third Proportional to 309,376 and 655,358

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Solution

The third proportional to 309,376 and 655,358 is: 1,388,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,376 : 655,358 = 655,358 : x
  2. Step 2: Convert to fraction form
    309,376/655,358 = 655,358/x
  3. Step 3: Cross multiply
    309,376x = 655,358 × 655,358
  4. Step 4: Simplify right side
    309,376x = 429,494,108,164
  5. Step 5: Solve for x
    x = 429,494,108,164/309,376
  6. Step 6: Final answer
    x = 1,388,259.30

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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.