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Finding the Third Proportional to 255,851,862.75 and 393,019,758

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Solution

The third proportional to 255,851,862.75 and 393,019,758 is: 603,726,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,851,862.75 : 393,019,758 = 393,019,758 : x
  2. Step 2: Convert to fraction form
    255,851,862.75/393,019,758 = 393,019,758/x
  3. Step 3: Cross multiply
    255,851,862.75x = 393,019,758 × 393,019,758
  4. Step 4: Simplify right side
    255,851,862.75x = 154,464,530,178,378,560
  5. Step 5: Solve for x
    x = 154,464,530,178,378,560/255,851,862.75
  6. Step 6: Final answer
    x = 603,726,424.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.