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Finding the Third Proportional to 666,133 and 987,717

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Solution

The third proportional to 666,133 and 987,717 is: 1,464,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,133 : 987,717 = 987,717 : x
  2. Step 2: Convert to fraction form
    666,133/987,717 = 987,717/x
  3. Step 3: Cross multiply
    666,133x = 987,717 × 987,717
  4. Step 4: Simplify right side
    666,133x = 975,584,872,089
  5. Step 5: Solve for x
    x = 975,584,872,089/666,133
  6. Step 6: Final answer
    x = 1,464,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.