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Finding the Third Proportional to 296,491 and 634,805

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Solution

The third proportional to 296,491 and 634,805 is: 1,359,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,491 : 634,805 = 634,805 : x
  2. Step 2: Convert to fraction form
    296,491/634,805 = 634,805/x
  3. Step 3: Cross multiply
    296,491x = 634,805 × 634,805
  4. Step 4: Simplify right side
    296,491x = 402,977,388,025
  5. Step 5: Solve for x
    x = 402,977,388,025/296,491
  6. Step 6: Final answer
    x = 1,359,155.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.