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Finding the Third Proportional to 688,690 and 1,460,749

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Solution

The third proportional to 688,690 and 1,460,749 is: 3,098,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,690 : 1,460,749 = 1,460,749 : x
  2. Step 2: Convert to fraction form
    688,690/1,460,749 = 1,460,749/x
  3. Step 3: Cross multiply
    688,690x = 1,460,749 × 1,460,749
  4. Step 4: Simplify right side
    688,690x = 2,133,787,641,001
  5. Step 5: Solve for x
    x = 2,133,787,641,001/688,690
  6. Step 6: Final answer
    x = 3,098,328.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.