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Finding the Third Proportional to 255,316 and 404,094

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Solution

The third proportional to 255,316 and 404,094 is: 639,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,316 : 404,094 = 404,094 : x
  2. Step 2: Convert to fraction form
    255,316/404,094 = 404,094/x
  3. Step 3: Cross multiply
    255,316x = 404,094 × 404,094
  4. Step 4: Simplify right side
    255,316x = 163,291,960,836
  5. Step 5: Solve for x
    x = 163,291,960,836/255,316
  6. Step 6: Final answer
    x = 639,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.