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Finding the Third Proportional to 619,401.94 and 902,139.19

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Solution

The third proportional to 619,401.94 and 902,139.19 is: 1,313,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,401.94 : 902,139.19 = 902,139.19 : x
  2. Step 2: Convert to fraction form
    619,401.94/902,139.19 = 902,139.19/x
  3. Step 3: Cross multiply
    619,401.94x = 902,139.19 × 902,139.19
  4. Step 4: Simplify right side
    619,401.94x = 813,855,113,623.16
  5. Step 5: Solve for x
    x = 813,855,113,623.16/619,401.94
  6. Step 6: Final answer
    x = 1,313,936.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.