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Finding the Third Proportional to 583,878 and 878,410

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Solution

The third proportional to 583,878 and 878,410 is: 1,321,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,878 : 878,410 = 878,410 : x
  2. Step 2: Convert to fraction form
    583,878/878,410 = 878,410/x
  3. Step 3: Cross multiply
    583,878x = 878,410 × 878,410
  4. Step 4: Simplify right side
    583,878x = 771,604,128,100
  5. Step 5: Solve for x
    x = 771,604,128,100/583,878
  6. Step 6: Final answer
    x = 1,321,516.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.