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Finding the Third Proportional to 141,516 and 209,628

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Solution

The third proportional to 141,516 and 209,628 is: 310,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,516 : 209,628 = 209,628 : x
  2. Step 2: Convert to fraction form
    141,516/209,628 = 209,628/x
  3. Step 3: Cross multiply
    141,516x = 209,628 × 209,628
  4. Step 4: Simplify right side
    141,516x = 43,943,898,384
  5. Step 5: Solve for x
    x = 43,943,898,384/141,516
  6. Step 6: Final answer
    x = 310,522.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.