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Finding the Third Proportional to 431,247,267 and 704,113,439

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Solution

The third proportional to 431,247,267 and 704,113,439 is: 1,149,632,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,247,267 : 704,113,439 = 704,113,439 : x
  2. Step 2: Convert to fraction form
    431,247,267/704,113,439 = 704,113,439/x
  3. Step 3: Cross multiply
    431,247,267x = 704,113,439 × 704,113,439
  4. Step 4: Simplify right side
    431,247,267x = 495,775,734,980,406,720
  5. Step 5: Solve for x
    x = 495,775,734,980,406,720/431,247,267
  6. Step 6: Final answer
    x = 1,149,632,178.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.