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Finding the Third Proportional to 198,663 and 432,790.50

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Solution

The third proportional to 198,663 and 432,790.50 is: 942,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,663 : 432,790.50 = 432,790.50 : x
  2. Step 2: Convert to fraction form
    198,663/432,790.50 = 432,790.50/x
  3. Step 3: Cross multiply
    198,663x = 432,790.50 × 432,790.50
  4. Step 4: Simplify right side
    198,663x = 187,307,616,890.25
  5. Step 5: Solve for x
    x = 187,307,616,890.25/198,663
  6. Step 6: Final answer
    x = 942,840.98

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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.