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Finding the Third Proportional to 4,128,513 and 8,633,463

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Solution

The third proportional to 4,128,513 and 8,633,463 is: 18,054,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128,513 : 8,633,463 = 8,633,463 : x
  2. Step 2: Convert to fraction form
    4,128,513/8,633,463 = 8,633,463/x
  3. Step 3: Cross multiply
    4,128,513x = 8,633,463 × 8,633,463
  4. Step 4: Simplify right side
    4,128,513x = 74,536,683,372,369
  5. Step 5: Solve for x
    x = 74,536,683,372,369/4,128,513
  6. Step 6: Final answer
    x = 18,054,123.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.