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Finding the Third Proportional to 420,471,569 and 905,640,471

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Solution

The third proportional to 420,471,569 and 905,640,471 is: 1,950,630,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,471,569 : 905,640,471 = 905,640,471 : x
  2. Step 2: Convert to fraction form
    420,471,569/905,640,471 = 905,640,471/x
  3. Step 3: Cross multiply
    420,471,569x = 905,640,471 × 905,640,471
  4. Step 4: Simplify right side
    420,471,569x = 820,184,662,713,101,824
  5. Step 5: Solve for x
    x = 820,184,662,713,101,824/420,471,569
  6. Step 6: Final answer
    x = 1,950,630,490.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.