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Finding the Third Proportional to 686,543 and 1,495,138

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Solution

The third proportional to 686,543 and 1,495,138 is: 3,256,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,543 : 1,495,138 = 1,495,138 : x
  2. Step 2: Convert to fraction form
    686,543/1,495,138 = 1,495,138/x
  3. Step 3: Cross multiply
    686,543x = 1,495,138 × 1,495,138
  4. Step 4: Simplify right side
    686,543x = 2,235,437,639,044
  5. Step 5: Solve for x
    x = 2,235,437,639,044/686,543
  6. Step 6: Final answer
    x = 3,256,078.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.