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Finding the Third Proportional to 309,112 and 651,433

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Solution

The third proportional to 309,112 and 651,433 is: 1,372,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,112 : 651,433 = 651,433 : x
  2. Step 2: Convert to fraction form
    309,112/651,433 = 651,433/x
  3. Step 3: Cross multiply
    309,112x = 651,433 × 651,433
  4. Step 4: Simplify right side
    309,112x = 424,364,953,489
  5. Step 5: Solve for x
    x = 424,364,953,489/309,112
  6. Step 6: Final answer
    x = 1,372,851.76

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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.