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Finding the Third Proportional to 989,000 and 1,412,940

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Solution

The third proportional to 989,000 and 1,412,940 is: 2,018,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,000 : 1,412,940 = 1,412,940 : x
  2. Step 2: Convert to fraction form
    989,000/1,412,940 = 1,412,940/x
  3. Step 3: Cross multiply
    989,000x = 1,412,940 × 1,412,940
  4. Step 4: Simplify right side
    989,000x = 1,996,399,443,600
  5. Step 5: Solve for x
    x = 1,996,399,443,600/989,000
  6. Step 6: Final answer
    x = 2,018,604.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.