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Finding the Third Proportional to 348,478 and 490,746

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Solution

The third proportional to 348,478 and 490,746 is: 691,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,478 : 490,746 = 490,746 : x
  2. Step 2: Convert to fraction form
    348,478/490,746 = 490,746/x
  3. Step 3: Cross multiply
    348,478x = 490,746 × 490,746
  4. Step 4: Simplify right side
    348,478x = 240,831,636,516
  5. Step 5: Solve for x
    x = 240,831,636,516/348,478
  6. Step 6: Final answer
    x = 691,095.67

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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.