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Finding the Third Proportional to 287,599.50 and 383,148

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Solution

The third proportional to 287,599.50 and 383,148 is: 510,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,599.50 : 383,148 = 383,148 : x
  2. Step 2: Convert to fraction form
    287,599.50/383,148 = 383,148/x
  3. Step 3: Cross multiply
    287,599.50x = 383,148 × 383,148
  4. Step 4: Simplify right side
    287,599.50x = 146,802,389,904
  5. Step 5: Solve for x
    x = 146,802,389,904/287,599.50
  6. Step 6: Final answer
    x = 510,440.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.