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Finding the Third Proportional to 4,207,863 and 9,203,043

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Solution

The third proportional to 4,207,863 and 9,203,043 is: 20,128,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,863 : 9,203,043 = 9,203,043 : x
  2. Step 2: Convert to fraction form
    4,207,863/9,203,043 = 9,203,043/x
  3. Step 3: Cross multiply
    4,207,863x = 9,203,043 × 9,203,043
  4. Step 4: Simplify right side
    4,207,863x = 84,696,000,459,849
  5. Step 5: Solve for x
    x = 84,696,000,459,849/4,207,863
  6. Step 6: Final answer
    x = 20,128,031.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.