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Finding the Third Proportional to 138,066,438.94 and 306,779,921.44

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Solution

The third proportional to 138,066,438.94 and 306,779,921.44 is: 681,656,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,066,438.94 : 306,779,921.44 = 306,779,921.44 : x
  2. Step 2: Convert to fraction form
    138,066,438.94/306,779,921.44 = 306,779,921.44/x
  3. Step 3: Cross multiply
    138,066,438.94x = 306,779,921.44 × 306,779,921.44
  4. Step 4: Simplify right side
    138,066,438.94x = 94,113,920,197,198,672
  5. Step 5: Solve for x
    x = 94,113,920,197,198,672/138,066,438.94
  6. Step 6: Final answer
    x = 681,656,751.06

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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.