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Finding the Third Proportional to 13,904,109 and 20,358,417

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Solution

The third proportional to 13,904,109 and 20,358,417 is: 29,808,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904,109 : 20,358,417 = 20,358,417 : x
  2. Step 2: Convert to fraction form
    13,904,109/20,358,417 = 20,358,417/x
  3. Step 3: Cross multiply
    13,904,109x = 20,358,417 × 20,358,417
  4. Step 4: Simplify right side
    13,904,109x = 414,465,142,745,889
  5. Step 5: Solve for x
    x = 414,465,142,745,889/13,904,109
  6. Step 6: Final answer
    x = 29,808,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.