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Finding the Third Proportional to 66,362,496 and 138,022,368

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Solution

The third proportional to 66,362,496 and 138,022,368 is: 287,062,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,362,496 : 138,022,368 = 138,022,368 : x
  2. Step 2: Convert to fraction form
    66,362,496/138,022,368 = 138,022,368/x
  3. Step 3: Cross multiply
    66,362,496x = 138,022,368 × 138,022,368
  4. Step 4: Simplify right side
    66,362,496x = 19,050,174,068,327,424
  5. Step 5: Solve for x
    x = 19,050,174,068,327,424/66,362,496
  6. Step 6: Final answer
    x = 287,062,350.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.