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Finding the Third Proportional to 282,769 and 609,810

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Solution

The third proportional to 282,769 and 609,810 is: 1,315,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769 : 609,810 = 609,810 : x
  2. Step 2: Convert to fraction form
    282,769/609,810 = 609,810/x
  3. Step 3: Cross multiply
    282,769x = 609,810 × 609,810
  4. Step 4: Simplify right side
    282,769x = 371,868,236,100
  5. Step 5: Solve for x
    x = 371,868,236,100/282,769
  6. Step 6: Final answer
    x = 1,315,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.