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Finding the Third Proportional to 480,318 and 753,442

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Solution

The third proportional to 480,318 and 753,442 is: 1,181,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,318 : 753,442 = 753,442 : x
  2. Step 2: Convert to fraction form
    480,318/753,442 = 753,442/x
  3. Step 3: Cross multiply
    480,318x = 753,442 × 753,442
  4. Step 4: Simplify right side
    480,318x = 567,674,847,364
  5. Step 5: Solve for x
    x = 567,674,847,364/480,318
  6. Step 6: Final answer
    x = 1,181,872.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.