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Finding the Third Proportional to 210,215.25 and 315,014.63

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Solution

The third proportional to 210,215.25 and 315,014.63 is: 472,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,215.25 : 315,014.63 = 315,014.63 : x
  2. Step 2: Convert to fraction form
    210,215.25/315,014.63 = 315,014.63/x
  3. Step 3: Cross multiply
    210,215.25x = 315,014.63 × 315,014.63
  4. Step 4: Simplify right side
    210,215.25x = 99,234,213,963.89
  5. Step 5: Solve for x
    x = 99,234,213,963.89/210,215.25
  6. Step 6: Final answer
    x = 472,060.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.