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Finding the Third Proportional to 310,051.13 and 664,387.31

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Solution

The third proportional to 310,051.13 and 664,387.31 is: 1,423,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,051.13 : 664,387.31 = 664,387.31 : x
  2. Step 2: Convert to fraction form
    310,051.13/664,387.31 = 664,387.31/x
  3. Step 3: Cross multiply
    310,051.13x = 664,387.31 × 664,387.31
  4. Step 4: Simplify right side
    310,051.13x = 441,410,501,010.97
  5. Step 5: Solve for x
    x = 441,410,501,010.97/310,051.13
  6. Step 6: Final answer
    x = 1,423,670.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.