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Finding the Third Proportional to 489,313 and 689,063

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Solution

The third proportional to 489,313 and 689,063 is: 970,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,313 : 689,063 = 689,063 : x
  2. Step 2: Convert to fraction form
    489,313/689,063 = 689,063/x
  3. Step 3: Cross multiply
    489,313x = 689,063 × 689,063
  4. Step 4: Simplify right side
    489,313x = 474,807,817,969
  5. Step 5: Solve for x
    x = 474,807,817,969/489,313
  6. Step 6: Final answer
    x = 970,356.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.