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Finding the Third Proportional to 86,638,848 and 129,975,168

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Solution

The third proportional to 86,638,848 and 129,975,168 is: 194,988,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,638,848 : 129,975,168 = 129,975,168 : x
  2. Step 2: Convert to fraction form
    86,638,848/129,975,168 = 129,975,168/x
  3. Step 3: Cross multiply
    86,638,848x = 129,975,168 × 129,975,168
  4. Step 4: Simplify right side
    86,638,848x = 16,893,544,296,628,224
  5. Step 5: Solve for x
    x = 16,893,544,296,628,224/86,638,848
  6. Step 6: Final answer
    x = 194,988,099.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.