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Finding the Third Proportional to 115,140,602.25 and 164,652,405.75

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Solution

The third proportional to 115,140,602.25 and 164,652,405.75 is: 235,454,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,140,602.25 : 164,652,405.75 = 164,652,405.75 : x
  2. Step 2: Convert to fraction form
    115,140,602.25/164,652,405.75 = 164,652,405.75/x
  3. Step 3: Cross multiply
    115,140,602.25x = 164,652,405.75 × 164,652,405.75
  4. Step 4: Simplify right side
    115,140,602.25x = 27,110,414,719,262,632
  5. Step 5: Solve for x
    x = 27,110,414,719,262,632/115,140,602.25
  6. Step 6: Final answer
    x = 235,454,862.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.