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Finding the Third Proportional to 243,886 and 514,340

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Solution

The third proportional to 243,886 and 514,340 is: 1,084,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,886 : 514,340 = 514,340 : x
  2. Step 2: Convert to fraction form
    243,886/514,340 = 514,340/x
  3. Step 3: Cross multiply
    243,886x = 514,340 × 514,340
  4. Step 4: Simplify right side
    243,886x = 264,545,635,600
  5. Step 5: Solve for x
    x = 264,545,635,600/243,886
  6. Step 6: Final answer
    x = 1,084,710.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.