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Finding the Third Proportional to 8,972,640 and 19,459,656

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Solution

The third proportional to 8,972,640 and 19,459,656 is: 42,203,655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,640 : 19,459,656 = 19,459,656 : x
  2. Step 2: Convert to fraction form
    8,972,640/19,459,656 = 19,459,656/x
  3. Step 3: Cross multiply
    8,972,640x = 19,459,656 × 19,459,656
  4. Step 4: Simplify right side
    8,972,640x = 378,678,211,638,336
  5. Step 5: Solve for x
    x = 378,678,211,638,336/8,972,640
  6. Step 6: Final answer
    x = 42,203,655.96

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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.