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Finding the Third Proportional to 243,475 and 531,236

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Solution

The third proportional to 243,475 and 531,236 is: 1,159,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,475 : 531,236 = 531,236 : x
  2. Step 2: Convert to fraction form
    243,475/531,236 = 531,236/x
  3. Step 3: Cross multiply
    243,475x = 531,236 × 531,236
  4. Step 4: Simplify right side
    243,475x = 282,211,687,696
  5. Step 5: Solve for x
    x = 282,211,687,696/243,475
  6. Step 6: Final answer
    x = 1,159,099.24

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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.