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Finding the Third Proportional to 481,688 and 750,106.50

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Solution

The third proportional to 481,688 and 750,106.50 is: 1,168,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,688 : 750,106.50 = 750,106.50 : x
  2. Step 2: Convert to fraction form
    481,688/750,106.50 = 750,106.50/x
  3. Step 3: Cross multiply
    481,688x = 750,106.50 × 750,106.50
  4. Step 4: Simplify right side
    481,688x = 562,659,761,342.25
  5. Step 5: Solve for x
    x = 562,659,761,342.25/481,688
  6. Step 6: Final answer
    x = 1,168,100.02

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.