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Finding the Third Proportional to 4,200,840 and 9,161,887.50

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Solution

The third proportional to 4,200,840 and 9,161,887.50 is: 19,981,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,840 : 9,161,887.50 = 9,161,887.50 : x
  2. Step 2: Convert to fraction form
    4,200,840/9,161,887.50 = 9,161,887.50/x
  3. Step 3: Cross multiply
    4,200,840x = 9,161,887.50 × 9,161,887.50
  4. Step 4: Simplify right side
    4,200,840x = 83,940,182,562,656.25
  5. Step 5: Solve for x
    x = 83,940,182,562,656.25/4,200,840
  6. Step 6: Final answer
    x = 19,981,761.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.