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Finding the Third Proportional to 542,770.50 and 1,186,143

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Solution

The third proportional to 542,770.50 and 1,186,143 is: 2,592,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,770.50 : 1,186,143 = 1,186,143 : x
  2. Step 2: Convert to fraction form
    542,770.50/1,186,143 = 1,186,143/x
  3. Step 3: Cross multiply
    542,770.50x = 1,186,143 × 1,186,143
  4. Step 4: Simplify right side
    542,770.50x = 1,406,935,216,449
  5. Step 5: Solve for x
    x = 1,406,935,216,449/542,770.50
  6. Step 6: Final answer
    x = 2,592,136.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.