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Finding the Third Proportional to 1,291,294.56 and 2,815,094.81

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Solution

The third proportional to 1,291,294.56 and 2,815,094.81 is: 6,137,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,294.56 : 2,815,094.81 = 2,815,094.81 : x
  2. Step 2: Convert to fraction form
    1,291,294.56/2,815,094.81 = 2,815,094.81/x
  3. Step 3: Cross multiply
    1,291,294.56x = 2,815,094.81 × 2,815,094.81
  4. Step 4: Simplify right side
    1,291,294.56x = 7,924,758,803,364.41
  5. Step 5: Solve for x
    x = 7,924,758,803,364.41/1,291,294.56
  6. Step 6: Final answer
    x = 6,137,065.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.