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Finding the Third Proportional to 455,460 and 680,680.50

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Solution

The third proportional to 455,460 and 680,680.50 is: 1,017,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,460 : 680,680.50 = 680,680.50 : x
  2. Step 2: Convert to fraction form
    455,460/680,680.50 = 680,680.50/x
  3. Step 3: Cross multiply
    455,460x = 680,680.50 × 680,680.50
  4. Step 4: Simplify right side
    455,460x = 463,325,943,080.25
  5. Step 5: Solve for x
    x = 463,325,943,080.25/455,460
  6. Step 6: Final answer
    x = 1,017,270.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.