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Finding the Third Proportional to 309,140 and 651,491

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Solution

The third proportional to 309,140 and 651,491 is: 1,372,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,140 : 651,491 = 651,491 : x
  2. Step 2: Convert to fraction form
    309,140/651,491 = 651,491/x
  3. Step 3: Cross multiply
    309,140x = 651,491 × 651,491
  4. Step 4: Simplify right side
    309,140x = 424,440,523,081
  5. Step 5: Solve for x
    x = 424,440,523,081/309,140
  6. Step 6: Final answer
    x = 1,372,971.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.