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Finding the Third Proportional to 209,776 and 314,592

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Solution

The third proportional to 209,776 and 314,592 is: 471,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,776 : 314,592 = 314,592 : x
  2. Step 2: Convert to fraction form
    209,776/314,592 = 314,592/x
  3. Step 3: Cross multiply
    209,776x = 314,592 × 314,592
  4. Step 4: Simplify right side
    209,776x = 98,968,126,464
  5. Step 5: Solve for x
    x = 98,968,126,464/209,776
  6. Step 6: Final answer
    x = 471,780.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.