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Finding the Third Proportional to 645,120 and 902,290.50

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Solution

The third proportional to 645,120 and 902,290.50 is: 1,261,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,120 : 902,290.50 = 902,290.50 : x
  2. Step 2: Convert to fraction form
    645,120/902,290.50 = 902,290.50/x
  3. Step 3: Cross multiply
    645,120x = 902,290.50 × 902,290.50
  4. Step 4: Simplify right side
    645,120x = 814,128,146,390.25
  5. Step 5: Solve for x
    x = 814,128,146,390.25/645,120
  6. Step 6: Final answer
    x = 1,261,979.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.