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Finding the Third Proportional to 386,998.50 and 569,122.50

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Solution

The third proportional to 386,998.50 and 569,122.50 is: 836,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,998.50 : 569,122.50 = 569,122.50 : x
  2. Step 2: Convert to fraction form
    386,998.50/569,122.50 = 569,122.50/x
  3. Step 3: Cross multiply
    386,998.50x = 569,122.50 × 569,122.50
  4. Step 4: Simplify right side
    386,998.50x = 323,900,420,006.25
  5. Step 5: Solve for x
    x = 323,900,420,006.25/386,998.50
  6. Step 6: Final answer
    x = 836,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.