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Finding the Third Proportional to 6,111,955.13 and 8,271,100.13

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Solution

The third proportional to 6,111,955.13 and 8,271,100.13 is: 11,192,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,955.13 : 8,271,100.13 = 8,271,100.13 : x
  2. Step 2: Convert to fraction form
    6,111,955.13/8,271,100.13 = 8,271,100.13/x
  3. Step 3: Cross multiply
    6,111,955.13x = 8,271,100.13 × 8,271,100.13
  4. Step 4: Simplify right side
    6,111,955.13x = 68,411,097,277,775.02
  5. Step 5: Solve for x
    x = 68,411,097,277,775.02/6,111,955.13
  6. Step 6: Final answer
    x = 11,192,997.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.