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Finding the Third Proportional to 503,712 and 698,145

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Solution

The third proportional to 503,712 and 698,145 is: 967,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,712 : 698,145 = 698,145 : x
  2. Step 2: Convert to fraction form
    503,712/698,145 = 698,145/x
  3. Step 3: Cross multiply
    503,712x = 698,145 × 698,145
  4. Step 4: Simplify right side
    503,712x = 487,406,441,025
  5. Step 5: Solve for x
    x = 487,406,441,025/503,712
  6. Step 6: Final answer
    x = 967,629.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.