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Finding the Third Proportional to 310,134 and 657,908

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Solution

The third proportional to 310,134 and 657,908 is: 1,395,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,134 : 657,908 = 657,908 : x
  2. Step 2: Convert to fraction form
    310,134/657,908 = 657,908/x
  3. Step 3: Cross multiply
    310,134x = 657,908 × 657,908
  4. Step 4: Simplify right side
    310,134x = 432,842,936,464
  5. Step 5: Solve for x
    x = 432,842,936,464/310,134
  6. Step 6: Final answer
    x = 1,395,664.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.