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Finding the Third Proportional to 565,519 and 743,289

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Solution

The third proportional to 565,519 and 743,289 is: 976,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,519 : 743,289 = 743,289 : x
  2. Step 2: Convert to fraction form
    565,519/743,289 = 743,289/x
  3. Step 3: Cross multiply
    565,519x = 743,289 × 743,289
  4. Step 4: Simplify right side
    565,519x = 552,478,537,521
  5. Step 5: Solve for x
    x = 552,478,537,521/565,519
  6. Step 6: Final answer
    x = 976,940.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.