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Finding the Third Proportional to 64,736,518 and 138,706,811

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Solution

The third proportional to 64,736,518 and 138,706,811 is: 297,198,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,518 : 138,706,811 = 138,706,811 : x
  2. Step 2: Convert to fraction form
    64,736,518/138,706,811 = 138,706,811/x
  3. Step 3: Cross multiply
    64,736,518x = 138,706,811 × 138,706,811
  4. Step 4: Simplify right side
    64,736,518x = 19,239,579,417,789,720
  5. Step 5: Solve for x
    x = 19,239,579,417,789,720/64,736,518
  6. Step 6: Final answer
    x = 297,198,243.16

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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.