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Finding the Third Proportional to 31,477,507.88 and 68,074,286.63

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Solution

The third proportional to 31,477,507.88 and 68,074,286.63 is: 147,219,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477,507.88 : 68,074,286.63 = 68,074,286.63 : x
  2. Step 2: Convert to fraction form
    31,477,507.88/68,074,286.63 = 68,074,286.63/x
  3. Step 3: Cross multiply
    31,477,507.88x = 68,074,286.63 × 68,074,286.63
  4. Step 4: Simplify right side
    31,477,507.88x = 4,634,108,499,502,654
  5. Step 5: Solve for x
    x = 4,634,108,499,502,654/31,477,507.88
  6. Step 6: Final answer
    x = 147,219,675.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.