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Finding the Third Proportional to 277,440 and 589,440

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Solution

The third proportional to 277,440 and 589,440 is: 1,252,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,440 : 589,440 = 589,440 : x
  2. Step 2: Convert to fraction form
    277,440/589,440 = 589,440/x
  3. Step 3: Cross multiply
    277,440x = 589,440 × 589,440
  4. Step 4: Simplify right side
    277,440x = 347,439,513,600
  5. Step 5: Solve for x
    x = 347,439,513,600/277,440
  6. Step 6: Final answer
    x = 1,252,305.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.