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Finding the Third Proportional to 7,678,428 and 11,599,299

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Solution

The third proportional to 7,678,428 and 11,599,299 is: 17,522,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,428 : 11,599,299 = 11,599,299 : x
  2. Step 2: Convert to fraction form
    7,678,428/11,599,299 = 11,599,299/x
  3. Step 3: Cross multiply
    7,678,428x = 11,599,299 × 11,599,299
  4. Step 4: Simplify right side
    7,678,428x = 134,543,737,291,401
  5. Step 5: Solve for x
    x = 134,543,737,291,401/7,678,428
  6. Step 6: Final answer
    x = 17,522,302.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.