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Finding the Third Proportional to 309,428 and 669,373

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Solution

The third proportional to 309,428 and 669,373 is: 1,448,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,428 : 669,373 = 669,373 : x
  2. Step 2: Convert to fraction form
    309,428/669,373 = 669,373/x
  3. Step 3: Cross multiply
    309,428x = 669,373 × 669,373
  4. Step 4: Simplify right side
    309,428x = 448,060,213,129
  5. Step 5: Solve for x
    x = 448,060,213,129/309,428
  6. Step 6: Final answer
    x = 1,448,027.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.