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Finding the Third Proportional to 493,712 and 698,988

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Solution

The third proportional to 493,712 and 698,988 is: 989,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,712 : 698,988 = 698,988 : x
  2. Step 2: Convert to fraction form
    493,712/698,988 = 698,988/x
  3. Step 3: Cross multiply
    493,712x = 698,988 × 698,988
  4. Step 4: Simplify right side
    493,712x = 488,584,224,144
  5. Step 5: Solve for x
    x = 488,584,224,144/493,712
  6. Step 6: Final answer
    x = 989,613.83

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