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Finding the Third Proportional to 515,139 and 757,272

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Solution

The third proportional to 515,139 and 757,272 is: 1,113,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,139 : 757,272 = 757,272 : x
  2. Step 2: Convert to fraction form
    515,139/757,272 = 757,272/x
  3. Step 3: Cross multiply
    515,139x = 757,272 × 757,272
  4. Step 4: Simplify right side
    515,139x = 573,460,881,984
  5. Step 5: Solve for x
    x = 573,460,881,984/515,139
  6. Step 6: Final answer
    x = 1,113,215.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.