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Finding the Third Proportional to 666,135 and 987,720

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Solution

The third proportional to 666,135 and 987,720 is: 1,464,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,135 : 987,720 = 987,720 : x
  2. Step 2: Convert to fraction form
    666,135/987,720 = 987,720/x
  3. Step 3: Cross multiply
    666,135x = 987,720 × 987,720
  4. Step 4: Simplify right side
    666,135x = 975,590,798,400
  5. Step 5: Solve for x
    x = 975,590,798,400/666,135
  6. Step 6: Final answer
    x = 1,464,554.18

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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.