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Finding the Third Proportional to 403,487 and 606,972

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Solution

The third proportional to 403,487 and 606,972 is: 913,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,487 : 606,972 = 606,972 : x
  2. Step 2: Convert to fraction form
    403,487/606,972 = 606,972/x
  3. Step 3: Cross multiply
    403,487x = 606,972 × 606,972
  4. Step 4: Simplify right side
    403,487x = 368,415,008,784
  5. Step 5: Solve for x
    x = 368,415,008,784/403,487
  6. Step 6: Final answer
    x = 913,077.77

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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.