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Finding the Third Proportional to 142,312.50 and 305,728.88

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Solution

The third proportional to 142,312.50 and 305,728.88 is: 656,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,312.50 : 305,728.88 = 305,728.88 : x
  2. Step 2: Convert to fraction form
    142,312.50/305,728.88 = 305,728.88/x
  3. Step 3: Cross multiply
    142,312.50x = 305,728.88 × 305,728.88
  4. Step 4: Simplify right side
    142,312.50x = 93,470,145,008.77
  5. Step 5: Solve for x
    x = 93,470,145,008.77/142,312.50
  6. Step 6: Final answer
    x = 656,795.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.