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Finding the Third Proportional to 869,574 and 1,143,486

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Solution

The third proportional to 869,574 and 1,143,486 is: 1,503,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,574 : 1,143,486 = 1,143,486 : x
  2. Step 2: Convert to fraction form
    869,574/1,143,486 = 1,143,486/x
  3. Step 3: Cross multiply
    869,574x = 1,143,486 × 1,143,486
  4. Step 4: Simplify right side
    869,574x = 1,307,560,232,196
  5. Step 5: Solve for x
    x = 1,307,560,232,196/869,574
  6. Step 6: Final answer
    x = 1,503,679.08

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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.