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Finding the Third Proportional to 248,387 and 536,139

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Solution

The third proportional to 248,387 and 536,139 is: 1,157,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,387 : 536,139 = 536,139 : x
  2. Step 2: Convert to fraction form
    248,387/536,139 = 536,139/x
  3. Step 3: Cross multiply
    248,387x = 536,139 × 536,139
  4. Step 4: Simplify right side
    248,387x = 287,445,027,321
  5. Step 5: Solve for x
    x = 287,445,027,321/248,387
  6. Step 6: Final answer
    x = 1,157,246.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.