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Finding the Third Proportional to 332,283 and 780,109.50

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Solution

The third proportional to 332,283 and 780,109.50 is: 1,831,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,283 : 780,109.50 = 780,109.50 : x
  2. Step 2: Convert to fraction form
    332,283/780,109.50 = 780,109.50/x
  3. Step 3: Cross multiply
    332,283x = 780,109.50 × 780,109.50
  4. Step 4: Simplify right side
    332,283x = 608,570,831,990.25
  5. Step 5: Solve for x
    x = 608,570,831,990.25/332,283
  6. Step 6: Final answer
    x = 1,831,483.50

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.