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Finding the Third Proportional to 437,303 and 657,305

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Solution

The third proportional to 437,303 and 657,305 is: 987,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,303 : 657,305 = 657,305 : x
  2. Step 2: Convert to fraction form
    437,303/657,305 = 657,305/x
  3. Step 3: Cross multiply
    437,303x = 657,305 × 657,305
  4. Step 4: Simplify right side
    437,303x = 432,049,863,025
  5. Step 5: Solve for x
    x = 432,049,863,025/437,303
  6. Step 6: Final answer
    x = 987,987.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.