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Finding the Third Proportional to 242,409 and 515,457

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Solution

The third proportional to 242,409 and 515,457 is: 1,096,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,409 : 515,457 = 515,457 : x
  2. Step 2: Convert to fraction form
    242,409/515,457 = 515,457/x
  3. Step 3: Cross multiply
    242,409x = 515,457 × 515,457
  4. Step 4: Simplify right side
    242,409x = 265,695,918,849
  5. Step 5: Solve for x
    x = 265,695,918,849/242,409
  6. Step 6: Final answer
    x = 1,096,064.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.