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Finding the Third Proportional to 489,860 and 693,342

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Solution

The third proportional to 489,860 and 693,342 is: 981,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,860 : 693,342 = 693,342 : x
  2. Step 2: Convert to fraction form
    489,860/693,342 = 693,342/x
  3. Step 3: Cross multiply
    489,860x = 693,342 × 693,342
  4. Step 4: Simplify right side
    489,860x = 480,723,128,964
  5. Step 5: Solve for x
    x = 480,723,128,964/489,860
  6. Step 6: Final answer
    x = 981,348.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.