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Finding the Third Proportional to 623,422 and 1,344,135

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Solution

The third proportional to 623,422 and 1,344,135 is: 2,898,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,422 : 1,344,135 = 1,344,135 : x
  2. Step 2: Convert to fraction form
    623,422/1,344,135 = 1,344,135/x
  3. Step 3: Cross multiply
    623,422x = 1,344,135 × 1,344,135
  4. Step 4: Simplify right side
    623,422x = 1,806,698,898,225
  5. Step 5: Solve for x
    x = 1,806,698,898,225/623,422
  6. Step 6: Final answer
    x = 2,898,035.20

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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.