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Finding the Third Proportional to 283,076 and 434,442

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Solution

The third proportional to 283,076 and 434,442 is: 666,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,076 : 434,442 = 434,442 : x
  2. Step 2: Convert to fraction form
    283,076/434,442 = 434,442/x
  3. Step 3: Cross multiply
    283,076x = 434,442 × 434,442
  4. Step 4: Simplify right side
    283,076x = 188,739,851,364
  5. Step 5: Solve for x
    x = 188,739,851,364/283,076
  6. Step 6: Final answer
    x = 666,746.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.