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Finding the Third Proportional to 780,497 and 1,702,438

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Solution

The third proportional to 780,497 and 1,702,438 is: 3,713,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,497 : 1,702,438 = 1,702,438 : x
  2. Step 2: Convert to fraction form
    780,497/1,702,438 = 1,702,438/x
  3. Step 3: Cross multiply
    780,497x = 1,702,438 × 1,702,438
  4. Step 4: Simplify right side
    780,497x = 2,898,295,143,844
  5. Step 5: Solve for x
    x = 2,898,295,143,844/780,497
  6. Step 6: Final answer
    x = 3,713,396.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.