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Finding the Third Proportional to 329,117,256 and 685,474,690.50

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Solution

The third proportional to 329,117,256 and 685,474,690.50 is: 1,427,684,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,117,256 : 685,474,690.50 = 685,474,690.50 : x
  2. Step 2: Convert to fraction form
    329,117,256/685,474,690.50 = 685,474,690.50/x
  3. Step 3: Cross multiply
    329,117,256x = 685,474,690.50 × 685,474,690.50
  4. Step 4: Simplify right side
    329,117,256x = 469,875,551,316,070,784
  5. Step 5: Solve for x
    x = 469,875,551,316,070,784/329,117,256
  6. Step 6: Final answer
    x = 1,427,684,336.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.