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Finding the Third Proportional to 179,307 and 390,157

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Solution

The third proportional to 179,307 and 390,157 is: 848,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,307 : 390,157 = 390,157 : x
  2. Step 2: Convert to fraction form
    179,307/390,157 = 390,157/x
  3. Step 3: Cross multiply
    179,307x = 390,157 × 390,157
  4. Step 4: Simplify right side
    179,307x = 152,222,484,649
  5. Step 5: Solve for x
    x = 152,222,484,649/179,307
  6. Step 6: Final answer
    x = 848,948.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.