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Finding the Third Proportional to 781,220 and 1,712,002

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Solution

The third proportional to 781,220 and 1,712,002 is: 3,751,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,220 : 1,712,002 = 1,712,002 : x
  2. Step 2: Convert to fraction form
    781,220/1,712,002 = 1,712,002/x
  3. Step 3: Cross multiply
    781,220x = 1,712,002 × 1,712,002
  4. Step 4: Simplify right side
    781,220x = 2,930,950,848,004
  5. Step 5: Solve for x
    x = 2,930,950,848,004/781,220
  6. Step 6: Final answer
    x = 3,751,761.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.