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Finding the Third Proportional to 243,567 and 531,400.50

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Solution

The third proportional to 243,567 and 531,400.50 is: 1,159,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,567 : 531,400.50 = 531,400.50 : x
  2. Step 2: Convert to fraction form
    243,567/531,400.50 = 531,400.50/x
  3. Step 3: Cross multiply
    243,567x = 531,400.50 × 531,400.50
  4. Step 4: Simplify right side
    243,567x = 282,386,491,400.25
  5. Step 5: Solve for x
    x = 282,386,491,400.25/243,567
  6. Step 6: Final answer
    x = 1,159,379.11

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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.