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Finding the Third Proportional to 515,642 and 1,110,272

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Solution

The third proportional to 515,642 and 1,110,272 is: 2,390,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,642 : 1,110,272 = 1,110,272 : x
  2. Step 2: Convert to fraction form
    515,642/1,110,272 = 1,110,272/x
  3. Step 3: Cross multiply
    515,642x = 1,110,272 × 1,110,272
  4. Step 4: Simplify right side
    515,642x = 1,232,703,913,984
  5. Step 5: Solve for x
    x = 1,232,703,913,984/515,642
  6. Step 6: Final answer
    x = 2,390,619.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.