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Finding the Third Proportional to 525,303 and 764,989.50

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Solution

The third proportional to 525,303 and 764,989.50 is: 1,114,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,303 : 764,989.50 = 764,989.50 : x
  2. Step 2: Convert to fraction form
    525,303/764,989.50 = 764,989.50/x
  3. Step 3: Cross multiply
    525,303x = 764,989.50 × 764,989.50
  4. Step 4: Simplify right side
    525,303x = 585,208,935,110.25
  5. Step 5: Solve for x
    x = 585,208,935,110.25/525,303
  6. Step 6: Final answer
    x = 1,114,040.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.