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Finding the Third Proportional to 431,178.19 and 907,043.06

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Solution

The third proportional to 431,178.19 and 907,043.06 is: 1,908,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,178.19 : 907,043.06 = 907,043.06 : x
  2. Step 2: Convert to fraction form
    431,178.19/907,043.06 = 907,043.06/x
  3. Step 3: Cross multiply
    431,178.19x = 907,043.06 × 907,043.06
  4. Step 4: Simplify right side
    431,178.19x = 822,727,117,229.38
  5. Step 5: Solve for x
    x = 822,727,117,229.38/431,178.19
  6. Step 6: Final answer
    x = 1,908,090.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.