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Finding the Third Proportional to 86,136,840 and 129,268,260

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Solution

The third proportional to 86,136,840 and 129,268,260 is: 193,996,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,840 : 129,268,260 = 129,268,260 : x
  2. Step 2: Convert to fraction form
    86,136,840/129,268,260 = 129,268,260/x
  3. Step 3: Cross multiply
    86,136,840x = 129,268,260 × 129,268,260
  4. Step 4: Simplify right side
    86,136,840x = 16,710,283,043,427,600
  5. Step 5: Solve for x
    x = 16,710,283,043,427,600/86,136,840
  6. Step 6: Final answer
    x = 193,996,936.08

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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.