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Finding the Third Proportional to 427,076 and 987,356

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Solution

The third proportional to 427,076 and 987,356 is: 2,282,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,076 : 987,356 = 987,356 : x
  2. Step 2: Convert to fraction form
    427,076/987,356 = 987,356/x
  3. Step 3: Cross multiply
    427,076x = 987,356 × 987,356
  4. Step 4: Simplify right side
    427,076x = 974,871,870,736
  5. Step 5: Solve for x
    x = 974,871,870,736/427,076
  6. Step 6: Final answer
    x = 2,282,666.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.