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Finding the Third Proportional to 298,018.13 and 649,237.50

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Solution

The third proportional to 298,018.13 and 649,237.50 is: 1,414,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,018.13 : 649,237.50 = 649,237.50 : x
  2. Step 2: Convert to fraction form
    298,018.13/649,237.50 = 649,237.50/x
  3. Step 3: Cross multiply
    298,018.13x = 649,237.50 × 649,237.50
  4. Step 4: Simplify right side
    298,018.13x = 421,509,331,406.25
  5. Step 5: Solve for x
    x = 421,509,331,406.25/298,018.13
  6. Step 6: Final answer
    x = 1,414,374.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.