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Finding the Third Proportional to 313,426 and 470,136

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Solution

The third proportional to 313,426 and 470,136 is: 705,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426 : 470,136 = 470,136 : x
  2. Step 2: Convert to fraction form
    313,426/470,136 = 470,136/x
  3. Step 3: Cross multiply
    313,426x = 470,136 × 470,136
  4. Step 4: Simplify right side
    313,426x = 221,027,858,496
  5. Step 5: Solve for x
    x = 221,027,858,496/313,426
  6. Step 6: Final answer
    x = 705,199.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.