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Finding the Third Proportional to 418,618.50 and 908,133

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Solution

The third proportional to 418,618.50 and 908,133 is: 1,970,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,618.50 : 908,133 = 908,133 : x
  2. Step 2: Convert to fraction form
    418,618.50/908,133 = 908,133/x
  3. Step 3: Cross multiply
    418,618.50x = 908,133 × 908,133
  4. Step 4: Simplify right side
    418,618.50x = 824,705,545,689
  5. Step 5: Solve for x
    x = 824,705,545,689/418,618.50
  6. Step 6: Final answer
    x = 1,970,064.74

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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.