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Finding the Third Proportional to 452,136 and 698,990

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Solution

The third proportional to 452,136 and 698,990 is: 1,080,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,136 : 698,990 = 698,990 : x
  2. Step 2: Convert to fraction form
    452,136/698,990 = 698,990/x
  3. Step 3: Cross multiply
    452,136x = 698,990 × 698,990
  4. Step 4: Simplify right side
    452,136x = 488,587,020,100
  5. Step 5: Solve for x
    x = 488,587,020,100/452,136
  6. Step 6: Final answer
    x = 1,080,619.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.