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Finding the Third Proportional to 66,809,873.25 and 139,728,341.25

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Solution

The third proportional to 66,809,873.25 and 139,728,341.25 is: 292,232,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,809,873.25 : 139,728,341.25 = 139,728,341.25 : x
  2. Step 2: Convert to fraction form
    66,809,873.25/139,728,341.25 = 139,728,341.25/x
  3. Step 3: Cross multiply
    66,809,873.25x = 139,728,341.25 × 139,728,341.25
  4. Step 4: Simplify right side
    66,809,873.25x = 19,524,009,348,476,452
  5. Step 5: Solve for x
    x = 19,524,009,348,476,452/66,809,873.25
  6. Step 6: Final answer
    x = 292,232,396.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.