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Finding the Third Proportional to 680,486 and 1,430,630

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Solution

The third proportional to 680,486 and 1,430,630 is: 3,007,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,486 : 1,430,630 = 1,430,630 : x
  2. Step 2: Convert to fraction form
    680,486/1,430,630 = 1,430,630/x
  3. Step 3: Cross multiply
    680,486x = 1,430,630 × 1,430,630
  4. Step 4: Simplify right side
    680,486x = 2,046,702,196,900
  5. Step 5: Solve for x
    x = 2,046,702,196,900/680,486
  6. Step 6: Final answer
    x = 3,007,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.