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Finding the Third Proportional to 456,678 and 980,690.63

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Solution

The third proportional to 456,678 and 980,690.63 is: 2,105,978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,678 : 980,690.63 = 980,690.63 : x
  2. Step 2: Convert to fraction form
    456,678/980,690.63 = 980,690.63/x
  3. Step 3: Cross multiply
    456,678x = 980,690.63 × 980,690.63
  4. Step 4: Simplify right side
    456,678x = 961,754,101,962.89
  5. Step 5: Solve for x
    x = 961,754,101,962.89/456,678
  6. Step 6: Final answer
    x = 2,105,978.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.