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Finding the Third Proportional to 698,169 and 1,520,754

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Solution

The third proportional to 698,169 and 1,520,754 is: 3,312,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,169 : 1,520,754 = 1,520,754 : x
  2. Step 2: Convert to fraction form
    698,169/1,520,754 = 1,520,754/x
  3. Step 3: Cross multiply
    698,169x = 1,520,754 × 1,520,754
  4. Step 4: Simplify right side
    698,169x = 2,312,692,728,516
  5. Step 5: Solve for x
    x = 2,312,692,728,516/698,169
  6. Step 6: Final answer
    x = 3,312,511.34

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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.