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Finding the Third Proportional to 669,129 and 953,865

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Solution

The third proportional to 669,129 and 953,865 is: 1,359,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,129 : 953,865 = 953,865 : x
  2. Step 2: Convert to fraction form
    669,129/953,865 = 953,865/x
  3. Step 3: Cross multiply
    669,129x = 953,865 × 953,865
  4. Step 4: Simplify right side
    669,129x = 909,858,438,225
  5. Step 5: Solve for x
    x = 909,858,438,225/669,129
  6. Step 6: Final answer
    x = 1,359,765.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.