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Finding the Third Proportional to 283,880 and 618,160

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Solution

The third proportional to 283,880 and 618,160 is: 1,346,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,880 : 618,160 = 618,160 : x
  2. Step 2: Convert to fraction form
    283,880/618,160 = 618,160/x
  3. Step 3: Cross multiply
    283,880x = 618,160 × 618,160
  4. Step 4: Simplify right side
    283,880x = 382,121,785,600
  5. Step 5: Solve for x
    x = 382,121,785,600/283,880
  6. Step 6: Final answer
    x = 1,346,068.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.