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Finding the Third Proportional to 121,218 and 257,988

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Solution

The third proportional to 121,218 and 257,988 is: 549,075.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,218 : 257,988 = 257,988 : x
  2. Step 2: Convert to fraction form
    121,218/257,988 = 257,988/x
  3. Step 3: Cross multiply
    121,218x = 257,988 × 257,988
  4. Step 4: Simplify right side
    121,218x = 66,557,808,144
  5. Step 5: Solve for x
    x = 66,557,808,144/121,218
  6. Step 6: Final answer
    x = 549,075.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.