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Finding the Third Proportional to 282,813 and 609,905

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Solution

The third proportional to 282,813 and 609,905 is: 1,315,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,813 : 609,905 = 609,905 : x
  2. Step 2: Convert to fraction form
    282,813/609,905 = 609,905/x
  3. Step 3: Cross multiply
    282,813x = 609,905 × 609,905
  4. Step 4: Simplify right side
    282,813x = 371,984,109,025
  5. Step 5: Solve for x
    x = 371,984,109,025/282,813
  6. Step 6: Final answer
    x = 1,315,300.60

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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.