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Finding the Third Proportional to 64,736,570 and 138,706,918

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Solution

The third proportional to 64,736,570 and 138,706,918 is: 297,198,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,570 : 138,706,918 = 138,706,918 : x
  2. Step 2: Convert to fraction form
    64,736,570/138,706,918 = 138,706,918/x
  3. Step 3: Cross multiply
    64,736,570x = 138,706,918 × 138,706,918
  4. Step 4: Simplify right side
    64,736,570x = 19,239,609,101,058,724
  5. Step 5: Solve for x
    x = 19,239,609,101,058,724/64,736,570
  6. Step 6: Final answer
    x = 297,198,462.96

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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.