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Finding the Third Proportional to 357,221 and 770,529.50

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Solution

The third proportional to 357,221 and 770,529.50 is: 1,662,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,221 : 770,529.50 = 770,529.50 : x
  2. Step 2: Convert to fraction form
    357,221/770,529.50 = 770,529.50/x
  3. Step 3: Cross multiply
    357,221x = 770,529.50 × 770,529.50
  4. Step 4: Simplify right side
    357,221x = 593,715,710,370.25
  5. Step 5: Solve for x
    x = 593,715,710,370.25/357,221
  6. Step 6: Final answer
    x = 1,662,040.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.