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Finding the Third Proportional to 94,809.38 and 203,113.13

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Solution

The third proportional to 94,809.38 and 203,113.13 is: 435,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,809.38 : 203,113.13 = 203,113.13 : x
  2. Step 2: Convert to fraction form
    94,809.38/203,113.13 = 203,113.13/x
  3. Step 3: Cross multiply
    94,809.38x = 203,113.13 × 203,113.13
  4. Step 4: Simplify right side
    94,809.38x = 41,254,941,547.27
  5. Step 5: Solve for x
    x = 41,254,941,547.27/94,809.38
  6. Step 6: Final answer
    x = 435,135.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.