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Finding the Third Proportional to 256,929,358 and 385,472,793

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Solution

The third proportional to 256,929,358 and 385,472,793 is: 578,327,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,929,358 : 385,472,793 = 385,472,793 : x
  2. Step 2: Convert to fraction form
    256,929,358/385,472,793 = 385,472,793/x
  3. Step 3: Cross multiply
    256,929,358x = 385,472,793 × 385,472,793
  4. Step 4: Simplify right side
    256,929,358x = 148,589,274,143,220,864
  5. Step 5: Solve for x
    x = 148,589,274,143,220,864/256,929,358
  6. Step 6: Final answer
    x = 578,327,347.64

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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.