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Finding the Third Proportional to 329,984,068 and 687,070,520

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Solution

The third proportional to 329,984,068 and 687,070,520 is: 1,430,571,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984,068 : 687,070,520 = 687,070,520 : x
  2. Step 2: Convert to fraction form
    329,984,068/687,070,520 = 687,070,520/x
  3. Step 3: Cross multiply
    329,984,068x = 687,070,520 × 687,070,520
  4. Step 4: Simplify right side
    329,984,068x = 472,065,899,453,070,400
  5. Step 5: Solve for x
    x = 472,065,899,453,070,400/329,984,068
  6. Step 6: Final answer
    x = 1,430,571,791.89

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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.