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Finding the Third Proportional to 333,811 and 742,254.50

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Solution

The third proportional to 333,811 and 742,254.50 is: 1,650,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,811 : 742,254.50 = 742,254.50 : x
  2. Step 2: Convert to fraction form
    333,811/742,254.50 = 742,254.50/x
  3. Step 3: Cross multiply
    333,811x = 742,254.50 × 742,254.50
  4. Step 4: Simplify right side
    333,811x = 550,941,742,770.25
  5. Step 5: Solve for x
    x = 550,941,742,770.25/333,811
  6. Step 6: Final answer
    x = 1,650,460.12

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.