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Finding the Third Proportional to 209,744 and 314,639

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Solution

The third proportional to 209,744 and 314,639 is: 471,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744 : 314,639 = 314,639 : x
  2. Step 2: Convert to fraction form
    209,744/314,639 = 314,639/x
  3. Step 3: Cross multiply
    209,744x = 314,639 × 314,639
  4. Step 4: Simplify right side
    209,744x = 98,997,700,321
  5. Step 5: Solve for x
    x = 98,997,700,321/209,744
  6. Step 6: Final answer
    x = 471,993.00

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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.