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Finding the Third Proportional to 156,663 and 288,175

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Solution

The third proportional to 156,663 and 288,175 is: 530,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,663 : 288,175 = 288,175 : x
  2. Step 2: Convert to fraction form
    156,663/288,175 = 288,175/x
  3. Step 3: Cross multiply
    156,663x = 288,175 × 288,175
  4. Step 4: Simplify right side
    156,663x = 83,044,830,625
  5. Step 5: Solve for x
    x = 83,044,830,625/156,663
  6. Step 6: Final answer
    x = 530,085.79

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.