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Finding the Third Proportional to 248,720 and 542,971

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Solution

The third proportional to 248,720 and 542,971 is: 1,185,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,720 : 542,971 = 542,971 : x
  2. Step 2: Convert to fraction form
    248,720/542,971 = 542,971/x
  3. Step 3: Cross multiply
    248,720x = 542,971 × 542,971
  4. Step 4: Simplify right side
    248,720x = 294,817,506,841
  5. Step 5: Solve for x
    x = 294,817,506,841/248,720
  6. Step 6: Final answer
    x = 1,185,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.