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Finding the Third Proportional to 307,395 and 470,421

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Solution

The third proportional to 307,395 and 470,421 is: 719,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395 : 470,421 = 470,421 : x
  2. Step 2: Convert to fraction form
    307,395/470,421 = 470,421/x
  3. Step 3: Cross multiply
    307,395x = 470,421 × 470,421
  4. Step 4: Simplify right side
    307,395x = 221,295,917,241
  5. Step 5: Solve for x
    x = 221,295,917,241/307,395
  6. Step 6: Final answer
    x = 719,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.