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Finding the Third Proportional to 453,030 and 986,970

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Solution

The third proportional to 453,030 and 986,970 is: 2,150,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,030 : 986,970 = 986,970 : x
  2. Step 2: Convert to fraction form
    453,030/986,970 = 986,970/x
  3. Step 3: Cross multiply
    453,030x = 986,970 × 986,970
  4. Step 4: Simplify right side
    453,030x = 974,109,780,900
  5. Step 5: Solve for x
    x = 974,109,780,900/453,030
  6. Step 6: Final answer
    x = 2,150,210.32

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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.