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Finding the Third Proportional to 310,988 and 655,184

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Solution

The third proportional to 310,988 and 655,184 is: 1,380,330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,988 : 655,184 = 655,184 : x
  2. Step 2: Convert to fraction form
    310,988/655,184 = 655,184/x
  3. Step 3: Cross multiply
    310,988x = 655,184 × 655,184
  4. Step 4: Simplify right side
    310,988x = 429,266,073,856
  5. Step 5: Solve for x
    x = 429,266,073,856/310,988
  6. Step 6: Final answer
    x = 1,380,330.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.