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Finding the Third Proportional to 669,159 and 953,855

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Solution

The third proportional to 669,159 and 953,855 is: 1,359,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,159 : 953,855 = 953,855 : x
  2. Step 2: Convert to fraction form
    669,159/953,855 = 953,855/x
  3. Step 3: Cross multiply
    669,159x = 953,855 × 953,855
  4. Step 4: Simplify right side
    669,159x = 909,839,361,025
  5. Step 5: Solve for x
    x = 909,839,361,025/669,159
  6. Step 6: Final answer
    x = 1,359,675.89

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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.