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Finding the Third Proportional to 209,760 and 314,580

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Solution

The third proportional to 209,760 and 314,580 is: 471,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760 : 314,580 = 314,580 : x
  2. Step 2: Convert to fraction form
    209,760/314,580 = 314,580/x
  3. Step 3: Cross multiply
    209,760x = 314,580 × 314,580
  4. Step 4: Simplify right side
    209,760x = 98,960,576,400
  5. Step 5: Solve for x
    x = 98,960,576,400/209,760
  6. Step 6: Final answer
    x = 471,780.02

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