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Finding the Third Proportional to 450,434 and 989,460

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Solution

The third proportional to 450,434 and 989,460 is: 2,173,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,434 : 989,460 = 989,460 : x
  2. Step 2: Convert to fraction form
    450,434/989,460 = 989,460/x
  3. Step 3: Cross multiply
    450,434x = 989,460 × 989,460
  4. Step 4: Simplify right side
    450,434x = 979,031,091,600
  5. Step 5: Solve for x
    x = 979,031,091,600/450,434
  6. Step 6: Final answer
    x = 2,173,528.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.