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Finding the Third Proportional to 427,871 and 916,465

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Solution

The third proportional to 427,871 and 916,465 is: 1,962,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,871 : 916,465 = 916,465 : x
  2. Step 2: Convert to fraction form
    427,871/916,465 = 916,465/x
  3. Step 3: Cross multiply
    427,871x = 916,465 × 916,465
  4. Step 4: Simplify right side
    427,871x = 839,908,096,225
  5. Step 5: Solve for x
    x = 839,908,096,225/427,871
  6. Step 6: Final answer
    x = 1,962,993.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.