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Finding the Third Proportional to 243,310 and 533,985

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Solution

The third proportional to 243,310 and 533,985 is: 1,171,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,310 : 533,985 = 533,985 : x
  2. Step 2: Convert to fraction form
    243,310/533,985 = 533,985/x
  3. Step 3: Cross multiply
    243,310x = 533,985 × 533,985
  4. Step 4: Simplify right side
    243,310x = 285,139,980,225
  5. Step 5: Solve for x
    x = 285,139,980,225/243,310
  6. Step 6: Final answer
    x = 1,171,920.51

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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.