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Finding the Third Proportional to 3,212,512.31 and 7,011,031.78

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Solution

The third proportional to 3,212,512.31 and 7,011,031.78 is: 15,300,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,512.31 : 7,011,031.78 = 7,011,031.78 : x
  2. Step 2: Convert to fraction form
    3,212,512.31/7,011,031.78 = 7,011,031.78/x
  3. Step 3: Cross multiply
    3,212,512.31x = 7,011,031.78 × 7,011,031.78
  4. Step 4: Simplify right side
    3,212,512.31x = 49,154,566,637,697.55
  5. Step 5: Solve for x
    x = 49,154,566,637,697.55/3,212,512.31
  6. Step 6: Final answer
    x = 15,300,973.77

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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.