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Finding the Third Proportional to 112,420 and 248,646

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Solution

The third proportional to 112,420 and 248,646 is: 549,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,420 : 248,646 = 248,646 : x
  2. Step 2: Convert to fraction form
    112,420/248,646 = 248,646/x
  3. Step 3: Cross multiply
    112,420x = 248,646 × 248,646
  4. Step 4: Simplify right side
    112,420x = 61,824,833,316
  5. Step 5: Solve for x
    x = 61,824,833,316/112,420
  6. Step 6: Final answer
    x = 549,945.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.