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Finding the Third Proportional to 310,014 and 398,316

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Solution

The third proportional to 310,014 and 398,316 is: 511,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,014 : 398,316 = 398,316 : x
  2. Step 2: Convert to fraction form
    310,014/398,316 = 398,316/x
  3. Step 3: Cross multiply
    310,014x = 398,316 × 398,316
  4. Step 4: Simplify right side
    310,014x = 158,655,635,856
  5. Step 5: Solve for x
    x = 158,655,635,856/310,014
  6. Step 6: Final answer
    x = 511,769.26

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.