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Finding the Third Proportional to 386,225.75 and 565,512

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Solution

The third proportional to 386,225.75 and 565,512 is: 828,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,225.75 : 565,512 = 565,512 : x
  2. Step 2: Convert to fraction form
    386,225.75/565,512 = 565,512/x
  3. Step 3: Cross multiply
    386,225.75x = 565,512 × 565,512
  4. Step 4: Simplify right side
    386,225.75x = 319,803,822,144
  5. Step 5: Solve for x
    x = 319,803,822,144/386,225.75
  6. Step 6: Final answer
    x = 828,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.