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Finding the Third Proportional to 305,180.16 and 662,900.20

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Solution

The third proportional to 305,180.16 and 662,900.20 is: 1,439,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,180.16 : 662,900.20 = 662,900.20 : x
  2. Step 2: Convert to fraction form
    305,180.16/662,900.20 = 662,900.20/x
  3. Step 3: Cross multiply
    305,180.16x = 662,900.20 × 662,900.20
  4. Step 4: Simplify right side
    305,180.16x = 439,436,679,303.17
  5. Step 5: Solve for x
    x = 439,436,679,303.17/305,180.16
  6. Step 6: Final answer
    x = 1,439,925.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.