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Finding the Third Proportional to 421,746.75 and 910,845

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Solution

The third proportional to 421,746.75 and 910,845 is: 1,967,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,746.75 : 910,845 = 910,845 : x
  2. Step 2: Convert to fraction form
    421,746.75/910,845 = 910,845/x
  3. Step 3: Cross multiply
    421,746.75x = 910,845 × 910,845
  4. Step 4: Simplify right side
    421,746.75x = 829,638,614,025
  5. Step 5: Solve for x
    x = 829,638,614,025/421,746.75
  6. Step 6: Final answer
    x = 1,967,148.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.