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Finding the Third Proportional to 869,570 and 1,143,480

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Solution

The third proportional to 869,570 and 1,143,480 is: 1,503,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,570 : 1,143,480 = 1,143,480 : x
  2. Step 2: Convert to fraction form
    869,570/1,143,480 = 1,143,480/x
  3. Step 3: Cross multiply
    869,570x = 1,143,480 × 1,143,480
  4. Step 4: Simplify right side
    869,570x = 1,307,546,510,400
  5. Step 5: Solve for x
    x = 1,307,546,510,400/869,570
  6. Step 6: Final answer
    x = 1,503,670.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.