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Finding the Third Proportional to 311,838 and 470,580

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Solution

The third proportional to 311,838 and 470,580 is: 710,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838 : 470,580 = 470,580 : x
  2. Step 2: Convert to fraction form
    311,838/470,580 = 470,580/x
  3. Step 3: Cross multiply
    311,838x = 470,580 × 470,580
  4. Step 4: Simplify right side
    311,838x = 221,445,536,400
  5. Step 5: Solve for x
    x = 221,445,536,400/311,838
  6. Step 6: Final answer
    x = 710,130.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.