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Finding the Third Proportional to 310,053 and 657,003

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Solution

The third proportional to 310,053 and 657,003 is: 1,392,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,053 : 657,003 = 657,003 : x
  2. Step 2: Convert to fraction form
    310,053/657,003 = 657,003/x
  3. Step 3: Cross multiply
    310,053x = 657,003 × 657,003
  4. Step 4: Simplify right side
    310,053x = 431,652,942,009
  5. Step 5: Solve for x
    x = 431,652,942,009/310,053
  6. Step 6: Final answer
    x = 1,392,190.83

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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.