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Finding the Third Proportional to 312,297 and 671,952

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Solution

The third proportional to 312,297 and 671,952 is: 1,445,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297 : 671,952 = 671,952 : x
  2. Step 2: Convert to fraction form
    312,297/671,952 = 671,952/x
  3. Step 3: Cross multiply
    312,297x = 671,952 × 671,952
  4. Step 4: Simplify right side
    312,297x = 451,519,490,304
  5. Step 5: Solve for x
    x = 451,519,490,304/312,297
  6. Step 6: Final answer
    x = 1,445,801.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.