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Finding the Third Proportional to 3,899,437 and 8,415,428

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Solution

The third proportional to 3,899,437 and 8,415,428 is: 18,161,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,437 : 8,415,428 = 8,415,428 : x
  2. Step 2: Convert to fraction form
    3,899,437/8,415,428 = 8,415,428/x
  3. Step 3: Cross multiply
    3,899,437x = 8,415,428 × 8,415,428
  4. Step 4: Simplify right side
    3,899,437x = 70,819,428,423,184
  5. Step 5: Solve for x
    x = 70,819,428,423,184/3,899,437
  6. Step 6: Final answer
    x = 18,161,449.57

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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.