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Finding the Third Proportional to 203,553 and 307,557

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Solution

The third proportional to 203,553 and 307,557 is: 464,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,553 : 307,557 = 307,557 : x
  2. Step 2: Convert to fraction form
    203,553/307,557 = 307,557/x
  3. Step 3: Cross multiply
    203,553x = 307,557 × 307,557
  4. Step 4: Simplify right side
    203,553x = 94,591,308,249
  5. Step 5: Solve for x
    x = 94,591,308,249/203,553
  6. Step 6: Final answer
    x = 464,701.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.