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Finding the Third Proportional to 342,203,076 and 738,951,336

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Solution

The third proportional to 342,203,076 and 738,951,336 is: 1,595,687,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,203,076 : 738,951,336 = 738,951,336 : x
  2. Step 2: Convert to fraction form
    342,203,076/738,951,336 = 738,951,336/x
  3. Step 3: Cross multiply
    342,203,076x = 738,951,336 × 738,951,336
  4. Step 4: Simplify right side
    342,203,076x = 546,049,076,976,184,896
  5. Step 5: Solve for x
    x = 546,049,076,976,184,896/342,203,076
  6. Step 6: Final answer
    x = 1,595,687,225.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.