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Finding the Third Proportional to 462,111 and 992,982

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Solution

The third proportional to 462,111 and 992,982 is: 2,133,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,111 : 992,982 = 992,982 : x
  2. Step 2: Convert to fraction form
    462,111/992,982 = 992,982/x
  3. Step 3: Cross multiply
    462,111x = 992,982 × 992,982
  4. Step 4: Simplify right side
    462,111x = 986,013,252,324
  5. Step 5: Solve for x
    x = 986,013,252,324/462,111
  6. Step 6: Final answer
    x = 2,133,715.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.