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Finding the Third Proportional to 310,432.50 and 468,078.75

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Solution

The third proportional to 310,432.50 and 468,078.75 is: 705,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,432.50 : 468,078.75 = 468,078.75 : x
  2. Step 2: Convert to fraction form
    310,432.50/468,078.75 = 468,078.75/x
  3. Step 3: Cross multiply
    310,432.50x = 468,078.75 × 468,078.75
  4. Step 4: Simplify right side
    310,432.50x = 219,097,716,201.56
  5. Step 5: Solve for x
    x = 219,097,716,201.56/310,432.50
  6. Step 6: Final answer
    x = 705,782.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.