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Finding the Third Proportional to 90,547.40 and 196,663.41

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Solution

The third proportional to 90,547.40 and 196,663.41 is: 427,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,547.40 : 196,663.41 = 196,663.41 : x
  2. Step 2: Convert to fraction form
    90,547.40/196,663.41 = 196,663.41/x
  3. Step 3: Cross multiply
    90,547.40x = 196,663.41 × 196,663.41
  4. Step 4: Simplify right side
    90,547.40x = 38,676,497,662.50
  5. Step 5: Solve for x
    x = 38,676,497,662.50/90,547.40
  6. Step 6: Final answer
    x = 427,140.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.