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Finding the Third Proportional to 4,832,130.09 and 10,420,807.78

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Solution

The third proportional to 4,832,130.09 and 10,420,807.78 is: 22,473,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832,130.09 : 10,420,807.78 = 10,420,807.78 : x
  2. Step 2: Convert to fraction form
    4,832,130.09/10,420,807.78 = 10,420,807.78/x
  3. Step 3: Cross multiply
    4,832,130.09x = 10,420,807.78 × 10,420,807.78
  4. Step 4: Simplify right side
    4,832,130.09x = 108,593,234,813,760.55
  5. Step 5: Solve for x
    x = 108,593,234,813,760.55/4,832,130.09
  6. Step 6: Final answer
    x = 22,473,160.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.