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Finding the Third Proportional to 525,288 and 787,740

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Solution

The third proportional to 525,288 and 787,740 is: 1,181,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,288 : 787,740 = 787,740 : x
  2. Step 2: Convert to fraction form
    525,288/787,740 = 787,740/x
  3. Step 3: Cross multiply
    525,288x = 787,740 × 787,740
  4. Step 4: Simplify right side
    525,288x = 620,534,307,600
  5. Step 5: Solve for x
    x = 620,534,307,600/525,288
  6. Step 6: Final answer
    x = 1,181,322.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.