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Finding the Third Proportional to 230,661 and 310,365

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Solution

The third proportional to 230,661 and 310,365 is: 417,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,661 : 310,365 = 310,365 : x
  2. Step 2: Convert to fraction form
    230,661/310,365 = 310,365/x
  3. Step 3: Cross multiply
    230,661x = 310,365 × 310,365
  4. Step 4: Simplify right side
    230,661x = 96,326,433,225
  5. Step 5: Solve for x
    x = 96,326,433,225/230,661
  6. Step 6: Final answer
    x = 417,610.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.