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Finding the Third Proportional to 287,590.50 and 383,135.06

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Solution

The third proportional to 287,590.50 and 383,135.06 is: 510,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,590.50 : 383,135.06 = 383,135.06 : x
  2. Step 2: Convert to fraction form
    287,590.50/383,135.06 = 383,135.06/x
  3. Step 3: Cross multiply
    287,590.50x = 383,135.06 × 383,135.06
  4. Step 4: Simplify right side
    287,590.50x = 146,792,476,116.88
  5. Step 5: Solve for x
    x = 146,792,476,116.88/287,590.50
  6. Step 6: Final answer
    x = 510,421.85

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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.