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Finding the Third Proportional to 330,348.06 and 721,368.28

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Solution

The third proportional to 330,348.06 and 721,368.28 is: 1,575,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,348.06 : 721,368.28 = 721,368.28 : x
  2. Step 2: Convert to fraction form
    330,348.06/721,368.28 = 721,368.28/x
  3. Step 3: Cross multiply
    330,348.06x = 721,368.28 × 721,368.28
  4. Step 4: Simplify right side
    330,348.06x = 520,372,197,193.58
  5. Step 5: Solve for x
    x = 520,372,197,193.58/330,348.06
  6. Step 6: Final answer
    x = 1,575,224.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.