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Finding the Third Proportional to 456,046 and 989,964

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Solution

The third proportional to 456,046 and 989,964 is: 2,148,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,046 : 989,964 = 989,964 : x
  2. Step 2: Convert to fraction form
    456,046/989,964 = 989,964/x
  3. Step 3: Cross multiply
    456,046x = 989,964 × 989,964
  4. Step 4: Simplify right side
    456,046x = 980,028,721,296
  5. Step 5: Solve for x
    x = 980,028,721,296/456,046
  6. Step 6: Final answer
    x = 2,148,969.01

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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.