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Finding the Third Proportional to 292,108 and 470,290

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Solution

The third proportional to 292,108 and 470,290 is: 757,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,108 : 470,290 = 470,290 : x
  2. Step 2: Convert to fraction form
    292,108/470,290 = 470,290/x
  3. Step 3: Cross multiply
    292,108x = 470,290 × 470,290
  4. Step 4: Simplify right side
    292,108x = 221,172,684,100
  5. Step 5: Solve for x
    x = 221,172,684,100/292,108
  6. Step 6: Final answer
    x = 757,160.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.