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Finding the Third Proportional to 311,235.75 and 478,612.13

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Solution

The third proportional to 311,235.75 and 478,612.13 is: 736,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,235.75 : 478,612.13 = 478,612.13 : x
  2. Step 2: Convert to fraction form
    311,235.75/478,612.13 = 478,612.13/x
  3. Step 3: Cross multiply
    311,235.75x = 478,612.13 × 478,612.13
  4. Step 4: Simplify right side
    311,235.75x = 229,069,566,197.02
  5. Step 5: Solve for x
    x = 229,069,566,197.02/311,235.75
  6. Step 6: Final answer
    x = 736,000.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.