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Finding the Third Proportional to 658,329.19 and 1,409,970.38

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Solution

The third proportional to 658,329.19 and 1,409,970.38 is: 3,019,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,329.19 : 1,409,970.38 = 1,409,970.38 : x
  2. Step 2: Convert to fraction form
    658,329.19/1,409,970.38 = 1,409,970.38/x
  3. Step 3: Cross multiply
    658,329.19x = 1,409,970.38 × 1,409,970.38
  4. Step 4: Simplify right side
    658,329.19x = 1,988,016,458,377.64
  5. Step 5: Solve for x
    x = 1,988,016,458,377.64/658,329.19
  6. Step 6: Final answer
    x = 3,019,790.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.