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Finding the Third Proportional to 313,394 and 470,785

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Solution

The third proportional to 313,394 and 470,785 is: 707,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,394 : 470,785 = 470,785 : x
  2. Step 2: Convert to fraction form
    313,394/470,785 = 470,785/x
  3. Step 3: Cross multiply
    313,394x = 470,785 × 470,785
  4. Step 4: Simplify right side
    313,394x = 221,638,516,225
  5. Step 5: Solve for x
    x = 221,638,516,225/313,394
  6. Step 6: Final answer
    x = 707,220.04

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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.