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Finding the Third Proportional to 379,020 and 829,254.50

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Solution

The third proportional to 379,020 and 829,254.50 is: 1,814,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,020 : 829,254.50 = 829,254.50 : x
  2. Step 2: Convert to fraction form
    379,020/829,254.50 = 829,254.50/x
  3. Step 3: Cross multiply
    379,020x = 829,254.50 × 829,254.50
  4. Step 4: Simplify right side
    379,020x = 687,663,025,770.25
  5. Step 5: Solve for x
    x = 687,663,025,770.25/379,020
  6. Step 6: Final answer
    x = 1,814,318.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.