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Finding the Third Proportional to 395,088 and 611,928

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Solution

The third proportional to 395,088 and 611,928 is: 947,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,088 : 611,928 = 611,928 : x
  2. Step 2: Convert to fraction form
    395,088/611,928 = 611,928/x
  3. Step 3: Cross multiply
    395,088x = 611,928 × 611,928
  4. Step 4: Simplify right side
    395,088x = 374,455,877,184
  5. Step 5: Solve for x
    x = 374,455,877,184/395,088
  6. Step 6: Final answer
    x = 947,778.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.