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Finding the Third Proportional to 8,966,478 and 19,457,116

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Solution

The third proportional to 8,966,478 and 19,457,116 is: 42,221,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966,478 : 19,457,116 = 19,457,116 : x
  2. Step 2: Convert to fraction form
    8,966,478/19,457,116 = 19,457,116/x
  3. Step 3: Cross multiply
    8,966,478x = 19,457,116 × 19,457,116
  4. Step 4: Simplify right side
    8,966,478x = 378,579,363,037,456
  5. Step 5: Solve for x
    x = 378,579,363,037,456/8,966,478
  6. Step 6: Final answer
    x = 42,221,635.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.