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Finding the Third Proportional to 256,929,356.25 and 385,472,790

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Solution

The third proportional to 256,929,356.25 and 385,472,790 is: 578,327,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,929,356.25 : 385,472,790 = 385,472,790 : x
  2. Step 2: Convert to fraction form
    256,929,356.25/385,472,790 = 385,472,790/x
  3. Step 3: Cross multiply
    256,929,356.25x = 385,472,790 × 385,472,790
  4. Step 4: Simplify right side
    256,929,356.25x = 148,589,271,830,384,096
  5. Step 5: Solve for x
    x = 148,589,271,830,384,096/256,929,356.25
  6. Step 6: Final answer
    x = 578,327,342.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.