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Finding the Third Proportional to 64,612,920 and 138,308,178

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Solution

The third proportional to 64,612,920 and 138,308,178 is: 296,057,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,612,920 : 138,308,178 = 138,308,178 : x
  2. Step 2: Convert to fraction form
    64,612,920/138,308,178 = 138,308,178/x
  3. Step 3: Cross multiply
    64,612,920x = 138,308,178 × 138,308,178
  4. Step 4: Simplify right side
    64,612,920x = 19,129,152,101,679,684
  5. Step 5: Solve for x
    x = 19,129,152,101,679,684/64,612,920
  6. Step 6: Final answer
    x = 296,057,694.06

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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.