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Finding the Third Proportional to 269,700.50 and 409,471.50

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Solution

The third proportional to 269,700.50 and 409,471.50 is: 621,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,700.50 : 409,471.50 = 409,471.50 : x
  2. Step 2: Convert to fraction form
    269,700.50/409,471.50 = 409,471.50/x
  3. Step 3: Cross multiply
    269,700.50x = 409,471.50 × 409,471.50
  4. Step 4: Simplify right side
    269,700.50x = 167,666,909,312.25
  5. Step 5: Solve for x
    x = 167,666,909,312.25/269,700.50
  6. Step 6: Final answer
    x = 621,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.