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Finding the Third Proportional to 86,161,128 and 128,936,970

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Solution

The third proportional to 86,161,128 and 128,936,970 is: 192,949,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,161,128 : 128,936,970 = 128,936,970 : x
  2. Step 2: Convert to fraction form
    86,161,128/128,936,970 = 128,936,970/x
  3. Step 3: Cross multiply
    86,161,128x = 128,936,970 × 128,936,970
  4. Step 4: Simplify right side
    86,161,128x = 16,624,742,232,780,900
  5. Step 5: Solve for x
    x = 16,624,742,232,780,900/86,161,128
  6. Step 6: Final answer
    x = 192,949,449.70

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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.