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Finding the Third Proportional to 489,242 and 688,960

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Solution

The third proportional to 489,242 and 688,960 is: 970,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,242 : 688,960 = 688,960 : x
  2. Step 2: Convert to fraction form
    489,242/688,960 = 688,960/x
  3. Step 3: Cross multiply
    489,242x = 688,960 × 688,960
  4. Step 4: Simplify right side
    489,242x = 474,665,881,600
  5. Step 5: Solve for x
    x = 474,665,881,600/489,242
  6. Step 6: Final answer
    x = 970,206.73

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