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Finding the Third Proportional to 456,030 and 989,982

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Solution

The third proportional to 456,030 and 989,982 is: 2,149,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,030 : 989,982 = 989,982 : x
  2. Step 2: Convert to fraction form
    456,030/989,982 = 989,982/x
  3. Step 3: Cross multiply
    456,030x = 989,982 × 989,982
  4. Step 4: Simplify right side
    456,030x = 980,064,360,324
  5. Step 5: Solve for x
    x = 980,064,360,324/456,030
  6. Step 6: Final answer
    x = 2,149,122.56

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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.