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Finding the Third Proportional to 348,368 and 490,582

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Solution

The third proportional to 348,368 and 490,582 is: 690,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,368 : 490,582 = 490,582 : x
  2. Step 2: Convert to fraction form
    348,368/490,582 = 490,582/x
  3. Step 3: Cross multiply
    348,368x = 490,582 × 490,582
  4. Step 4: Simplify right side
    348,368x = 240,670,698,724
  5. Step 5: Solve for x
    x = 240,670,698,724/348,368
  6. Step 6: Final answer
    x = 690,851.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.