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Finding the Third Proportional to 472,662 and 709,339.50

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Solution

The third proportional to 472,662 and 709,339.50 is: 1,064,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,662 : 709,339.50 = 709,339.50 : x
  2. Step 2: Convert to fraction form
    472,662/709,339.50 = 709,339.50/x
  3. Step 3: Cross multiply
    472,662x = 709,339.50 × 709,339.50
  4. Step 4: Simplify right side
    472,662x = 503,162,526,260.25
  5. Step 5: Solve for x
    x = 503,162,526,260.25/472,662
  6. Step 6: Final answer
    x = 1,064,529.25

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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.