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Finding the Third Proportional to 453,528 and 989,946

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Solution

The third proportional to 453,528 and 989,946 is: 2,160,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,528 : 989,946 = 989,946 : x
  2. Step 2: Convert to fraction form
    453,528/989,946 = 989,946/x
  3. Step 3: Cross multiply
    453,528x = 989,946 × 989,946
  4. Step 4: Simplify right side
    453,528x = 979,993,082,916
  5. Step 5: Solve for x
    x = 979,993,082,916/453,528
  6. Step 6: Final answer
    x = 2,160,821.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.