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Finding the Third Proportional to 145,998 and 310,815

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Solution

The third proportional to 145,998 and 310,815 is: 661,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,998 : 310,815 = 310,815 : x
  2. Step 2: Convert to fraction form
    145,998/310,815 = 310,815/x
  3. Step 3: Cross multiply
    145,998x = 310,815 × 310,815
  4. Step 4: Simplify right side
    145,998x = 96,605,964,225
  5. Step 5: Solve for x
    x = 96,605,964,225/145,998
  6. Step 6: Final answer
    x = 661,693.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.