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Finding the Third Proportional to 210,795.75 and 310,610.25

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Solution

The third proportional to 210,795.75 and 310,610.25 is: 457,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,795.75 : 310,610.25 = 310,610.25 : x
  2. Step 2: Convert to fraction form
    210,795.75/310,610.25 = 310,610.25/x
  3. Step 3: Cross multiply
    210,795.75x = 310,610.25 × 310,610.25
  4. Step 4: Simplify right side
    210,795.75x = 96,478,727,405.06
  5. Step 5: Solve for x
    x = 96,478,727,405.06/210,795.75
  6. Step 6: Final answer
    x = 457,688.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.