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Finding the Third Proportional to 248,803 and 533,102

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Solution

The third proportional to 248,803 and 533,102 is: 1,142,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,803 : 533,102 = 533,102 : x
  2. Step 2: Convert to fraction form
    248,803/533,102 = 533,102/x
  3. Step 3: Cross multiply
    248,803x = 533,102 × 533,102
  4. Step 4: Simplify right side
    248,803x = 284,197,742,404
  5. Step 5: Solve for x
    x = 284,197,742,404/248,803
  6. Step 6: Final answer
    x = 1,142,260.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.