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Finding the Third Proportional to 210,036 and 318,937.50

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Solution

The third proportional to 210,036 and 318,937.50 is: 484,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,036 : 318,937.50 = 318,937.50 : x
  2. Step 2: Convert to fraction form
    210,036/318,937.50 = 318,937.50/x
  3. Step 3: Cross multiply
    210,036x = 318,937.50 × 318,937.50
  4. Step 4: Simplify right side
    210,036x = 101,721,128,906.25
  5. Step 5: Solve for x
    x = 101,721,128,906.25/210,036
  6. Step 6: Final answer
    x = 484,303.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.