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Finding the Third Proportional to 64,743,188 and 138,668,712

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Solution

The third proportional to 64,743,188 and 138,668,712 is: 297,004,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743,188 : 138,668,712 = 138,668,712 : x
  2. Step 2: Convert to fraction form
    64,743,188/138,668,712 = 138,668,712/x
  3. Step 3: Cross multiply
    64,743,188x = 138,668,712 × 138,668,712
  4. Step 4: Simplify right side
    64,743,188x = 19,229,011,687,738,944
  5. Step 5: Solve for x
    x = 19,229,011,687,738,944/64,743,188
  6. Step 6: Final answer
    x = 297,004,399.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.