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Finding the Third Proportional to 847,602 and 1,280,043

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Solution

The third proportional to 847,602 and 1,280,043 is: 1,933,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,602 : 1,280,043 = 1,280,043 : x
  2. Step 2: Convert to fraction form
    847,602/1,280,043 = 1,280,043/x
  3. Step 3: Cross multiply
    847,602x = 1,280,043 × 1,280,043
  4. Step 4: Simplify right side
    847,602x = 1,638,510,081,849
  5. Step 5: Solve for x
    x = 1,638,510,081,849/847,602
  6. Step 6: Final answer
    x = 1,933,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.