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Finding the Third Proportional to 611,712 and 1,317,168

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Solution

The third proportional to 611,712 and 1,317,168 is: 2,836,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,712 : 1,317,168 = 1,317,168 : x
  2. Step 2: Convert to fraction form
    611,712/1,317,168 = 1,317,168/x
  3. Step 3: Cross multiply
    611,712x = 1,317,168 × 1,317,168
  4. Step 4: Simplify right side
    611,712x = 1,734,931,540,224
  5. Step 5: Solve for x
    x = 1,734,931,540,224/611,712
  6. Step 6: Final answer
    x = 2,836,190.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.