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Finding the Third Proportional to 208,754 and 492,389

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Solution

The third proportional to 208,754 and 492,389 is: 1,161,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,754 : 492,389 = 492,389 : x
  2. Step 2: Convert to fraction form
    208,754/492,389 = 492,389/x
  3. Step 3: Cross multiply
    208,754x = 492,389 × 492,389
  4. Step 4: Simplify right side
    208,754x = 242,446,927,321
  5. Step 5: Solve for x
    x = 242,446,927,321/208,754
  6. Step 6: Final answer
    x = 1,161,400.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.