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Finding the Third Proportional to 212,162,215.50 and 319,032,891

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Solution

The third proportional to 212,162,215.50 and 319,032,891 is: 479,736,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,162,215.50 : 319,032,891 = 319,032,891 : x
  2. Step 2: Convert to fraction form
    212,162,215.50/319,032,891 = 319,032,891/x
  3. Step 3: Cross multiply
    212,162,215.50x = 319,032,891 × 319,032,891
  4. Step 4: Simplify right side
    212,162,215.50x = 101,781,985,539,817,888
  5. Step 5: Solve for x
    x = 101,781,985,539,817,888/212,162,215.50
  6. Step 6: Final answer
    x = 479,736,626.52

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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.