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Finding the Third Proportional to 421,726 and 910,810

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Solution

The third proportional to 421,726 and 910,810 is: 1,967,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,726 : 910,810 = 910,810 : x
  2. Step 2: Convert to fraction form
    421,726/910,810 = 910,810/x
  3. Step 3: Cross multiply
    421,726x = 910,810 × 910,810
  4. Step 4: Simplify right side
    421,726x = 829,574,856,100
  5. Step 5: Solve for x
    x = 829,574,856,100/421,726
  6. Step 6: Final answer
    x = 1,967,094.41

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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.