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Finding the Third Proportional to 243,567 and 357,777

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Solution

The third proportional to 243,567 and 357,777 is: 525,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,567 : 357,777 = 357,777 : x
  2. Step 2: Convert to fraction form
    243,567/357,777 = 357,777/x
  3. Step 3: Cross multiply
    243,567x = 357,777 × 357,777
  4. Step 4: Simplify right side
    243,567x = 128,004,381,729
  5. Step 5: Solve for x
    x = 128,004,381,729/243,567
  6. Step 6: Final answer
    x = 525,540.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.