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Finding the Third Proportional to 456,999.89 and 990,271.41

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Solution

The third proportional to 456,999.89 and 990,271.41 is: 2,145,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,999.89 : 990,271.41 = 990,271.41 : x
  2. Step 2: Convert to fraction form
    456,999.89/990,271.41 = 990,271.41/x
  3. Step 3: Cross multiply
    456,999.89x = 990,271.41 × 990,271.41
  4. Step 4: Simplify right side
    456,999.89x = 980,637,458,036.35
  5. Step 5: Solve for x
    x = 980,637,458,036.35/456,999.89
  6. Step 6: Final answer
    x = 2,145,815.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.