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Finding the Third Proportional to 640,559 and 941,561

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Solution

The third proportional to 640,559 and 941,561 is: 1,384,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,559 : 941,561 = 941,561 : x
  2. Step 2: Convert to fraction form
    640,559/941,561 = 941,561/x
  3. Step 3: Cross multiply
    640,559x = 941,561 × 941,561
  4. Step 4: Simplify right side
    640,559x = 886,537,116,721
  5. Step 5: Solve for x
    x = 886,537,116,721/640,559
  6. Step 6: Final answer
    x = 1,384,005.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.