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Finding the Third Proportional to 128,509,231 and 195,776,985

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Solution

The third proportional to 128,509,231 and 195,776,985 is: 298,255,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,231 : 195,776,985 = 195,776,985 : x
  2. Step 2: Convert to fraction form
    128,509,231/195,776,985 = 195,776,985/x
  3. Step 3: Cross multiply
    128,509,231x = 195,776,985 × 195,776,985
  4. Step 4: Simplify right side
    128,509,231x = 38,328,627,855,690,224
  5. Step 5: Solve for x
    x = 38,328,627,855,690,224/128,509,231
  6. Step 6: Final answer
    x = 298,255,833.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.