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Finding the Third Proportional to 64,168,892 and 138,565,350

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Solution

The third proportional to 64,168,892 and 138,565,350 is: 299,215,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168,892 : 138,565,350 = 138,565,350 : x
  2. Step 2: Convert to fraction form
    64,168,892/138,565,350 = 138,565,350/x
  3. Step 3: Cross multiply
    64,168,892x = 138,565,350 × 138,565,350
  4. Step 4: Simplify right side
    64,168,892x = 19,200,356,220,622,500
  5. Step 5: Solve for x
    x = 19,200,356,220,622,500/64,168,892
  6. Step 6: Final answer
    x = 299,215,953.75

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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.