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Finding the Third Proportional to 248,130 and 538,272

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Solution

The third proportional to 248,130 and 538,272 is: 1,167,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,130 : 538,272 = 538,272 : x
  2. Step 2: Convert to fraction form
    248,130/538,272 = 538,272/x
  3. Step 3: Cross multiply
    248,130x = 538,272 × 538,272
  4. Step 4: Simplify right side
    248,130x = 289,736,745,984
  5. Step 5: Solve for x
    x = 289,736,745,984/248,130
  6. Step 6: Final answer
    x = 1,167,681.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.