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Finding the Third Proportional to 934,650 and 1,400,406

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Solution

The third proportional to 934,650 and 1,400,406 is: 2,098,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,650 : 1,400,406 = 1,400,406 : x
  2. Step 2: Convert to fraction form
    934,650/1,400,406 = 1,400,406/x
  3. Step 3: Cross multiply
    934,650x = 1,400,406 × 1,400,406
  4. Step 4: Simplify right side
    934,650x = 1,961,136,964,836
  5. Step 5: Solve for x
    x = 1,961,136,964,836/934,650
  6. Step 6: Final answer
    x = 2,098,258.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.