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Finding the Third Proportional to 660,678 and 997,209

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Solution

The third proportional to 660,678 and 997,209 is: 1,505,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,678 : 997,209 = 997,209 : x
  2. Step 2: Convert to fraction form
    660,678/997,209 = 997,209/x
  3. Step 3: Cross multiply
    660,678x = 997,209 × 997,209
  4. Step 4: Simplify right side
    660,678x = 994,425,789,681
  5. Step 5: Solve for x
    x = 994,425,789,681/660,678
  6. Step 6: Final answer
    x = 1,505,159.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.