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Finding the Third Proportional to 356,603 and 729,602

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Solution

The third proportional to 356,603 and 729,602 is: 1,492,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,603 : 729,602 = 729,602 : x
  2. Step 2: Convert to fraction form
    356,603/729,602 = 729,602/x
  3. Step 3: Cross multiply
    356,603x = 729,602 × 729,602
  4. Step 4: Simplify right side
    356,603x = 532,319,078,404
  5. Step 5: Solve for x
    x = 532,319,078,404/356,603
  6. Step 6: Final answer
    x = 1,492,749.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.