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Finding the Third Proportional to 254,492,203.50 and 389,140,141.50

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Solution

The third proportional to 254,492,203.50 and 389,140,141.50 is: 595,028,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,492,203.50 : 389,140,141.50 = 389,140,141.50 : x
  2. Step 2: Convert to fraction form
    254,492,203.50/389,140,141.50 = 389,140,141.50/x
  3. Step 3: Cross multiply
    254,492,203.50x = 389,140,141.50 × 389,140,141.50
  4. Step 4: Simplify right side
    254,492,203.50x = 151,430,049,726,640,032
  5. Step 5: Solve for x
    x = 151,430,049,726,640,032/254,492,203.50
  6. Step 6: Final answer
    x = 595,028,247.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.