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Finding the Third Proportional to 455,271.89 and 983,489.34

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Solution

The third proportional to 455,271.89 and 983,489.34 is: 2,124,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,271.89 : 983,489.34 = 983,489.34 : x
  2. Step 2: Convert to fraction form
    455,271.89/983,489.34 = 983,489.34/x
  3. Step 3: Cross multiply
    455,271.89x = 983,489.34 × 983,489.34
  4. Step 4: Simplify right side
    455,271.89x = 967,251,289,269.81
  5. Step 5: Solve for x
    x = 967,251,289,269.81/455,271.89
  6. Step 6: Final answer
    x = 2,124,557.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.