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Finding the Third Proportional to 138,777,661.13 and 308,575,548.38

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Solution

The third proportional to 138,777,661.13 and 308,575,548.38 is: 686,125,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,777,661.13 : 308,575,548.38 = 308,575,548.38 : x
  2. Step 2: Convert to fraction form
    138,777,661.13/308,575,548.38 = 308,575,548.38/x
  3. Step 3: Cross multiply
    138,777,661.13x = 308,575,548.38 × 308,575,548.38
  4. Step 4: Simplify right side
    138,777,661.13x = 95,218,869,054,931,968
  5. Step 5: Solve for x
    x = 95,218,869,054,931,968/138,777,661.13
  6. Step 6: Final answer
    x = 686,125,333.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.