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Finding the Third Proportional to 178,931 and 390,014

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Solution

The third proportional to 178,931 and 390,014 is: 850,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,931 : 390,014 = 390,014 : x
  2. Step 2: Convert to fraction form
    178,931/390,014 = 390,014/x
  3. Step 3: Cross multiply
    178,931x = 390,014 × 390,014
  4. Step 4: Simplify right side
    178,931x = 152,110,920,196
  5. Step 5: Solve for x
    x = 152,110,920,196/178,931
  6. Step 6: Final answer
    x = 850,109.37

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