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Finding the Third Proportional to 683,650 and 1,490,310

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Solution

The third proportional to 683,650 and 1,490,310 is: 3,248,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,650 : 1,490,310 = 1,490,310 : x
  2. Step 2: Convert to fraction form
    683,650/1,490,310 = 1,490,310/x
  3. Step 3: Cross multiply
    683,650x = 1,490,310 × 1,490,310
  4. Step 4: Simplify right side
    683,650x = 2,221,023,896,100
  5. Step 5: Solve for x
    x = 2,221,023,896,100/683,650
  6. Step 6: Final answer
    x = 3,248,773.34

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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.