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Finding the Third Proportional to 525,288 and 764,968.50

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Solution

The third proportional to 525,288 and 764,968.50 is: 1,114,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,288 : 764,968.50 = 764,968.50 : x
  2. Step 2: Convert to fraction form
    525,288/764,968.50 = 764,968.50/x
  3. Step 3: Cross multiply
    525,288x = 764,968.50 × 764,968.50
  4. Step 4: Simplify right side
    525,288x = 585,176,805,992.25
  5. Step 5: Solve for x
    x = 585,176,805,992.25/525,288
  6. Step 6: Final answer
    x = 1,114,011.37

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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.