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Finding the Third Proportional to 7,447,401 and 11,387,709

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Solution

The third proportional to 7,447,401 and 11,387,709 is: 17,412,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,401 : 11,387,709 = 11,387,709 : x
  2. Step 2: Convert to fraction form
    7,447,401/11,387,709 = 11,387,709/x
  3. Step 3: Cross multiply
    7,447,401x = 11,387,709 × 11,387,709
  4. Step 4: Simplify right side
    7,447,401x = 129,679,916,268,681
  5. Step 5: Solve for x
    x = 129,679,916,268,681/7,447,401
  6. Step 6: Final answer
    x = 17,412,774.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.