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Finding the Third Proportional to 710,109 and 998,815.50

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Solution

The third proportional to 710,109 and 998,815.50 is: 1,404,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,109 : 998,815.50 = 998,815.50 : x
  2. Step 2: Convert to fraction form
    710,109/998,815.50 = 998,815.50/x
  3. Step 3: Cross multiply
    710,109x = 998,815.50 × 998,815.50
  4. Step 4: Simplify right side
    710,109x = 997,632,403,040.25
  5. Step 5: Solve for x
    x = 997,632,403,040.25/710,109
  6. Step 6: Final answer
    x = 1,404,900.38

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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.