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Finding the Third Proportional to 611,072 and 1,315,331

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Solution

The third proportional to 611,072 and 1,315,331 is: 2,831,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,072 : 1,315,331 = 1,315,331 : x
  2. Step 2: Convert to fraction form
    611,072/1,315,331 = 1,315,331/x
  3. Step 3: Cross multiply
    611,072x = 1,315,331 × 1,315,331
  4. Step 4: Simplify right side
    611,072x = 1,730,095,639,561
  5. Step 5: Solve for x
    x = 1,730,095,639,561/611,072
  6. Step 6: Final answer
    x = 2,831,246.79

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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.