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Finding the Third Proportional to 190,359 and 409,425.50

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Solution

The third proportional to 190,359 and 409,425.50 is: 880,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,359 : 409,425.50 = 409,425.50 : x
  2. Step 2: Convert to fraction form
    190,359/409,425.50 = 409,425.50/x
  3. Step 3: Cross multiply
    190,359x = 409,425.50 × 409,425.50
  4. Step 4: Simplify right side
    190,359x = 167,629,240,050.25
  5. Step 5: Solve for x
    x = 167,629,240,050.25/190,359
  6. Step 6: Final answer
    x = 880,595.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.