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Finding the Third Proportional to 421,882 and 910,064

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Solution

The third proportional to 421,882 and 910,064 is: 1,963,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,882 : 910,064 = 910,064 : x
  2. Step 2: Convert to fraction form
    421,882/910,064 = 910,064/x
  3. Step 3: Cross multiply
    421,882x = 910,064 × 910,064
  4. Step 4: Simplify right side
    421,882x = 828,216,484,096
  5. Step 5: Solve for x
    x = 828,216,484,096/421,882
  6. Step 6: Final answer
    x = 1,963,147.24

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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.