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Finding the Third Proportional to 309,690 and 452,583

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Solution

The third proportional to 309,690 and 452,583 is: 661,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,690 : 452,583 = 452,583 : x
  2. Step 2: Convert to fraction form
    309,690/452,583 = 452,583/x
  3. Step 3: Cross multiply
    309,690x = 452,583 × 452,583
  4. Step 4: Simplify right side
    309,690x = 204,831,371,889
  5. Step 5: Solve for x
    x = 204,831,371,889/309,690
  6. Step 6: Final answer
    x = 661,407.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.