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Finding the Third Proportional to 307,406 and 470,437

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Solution

The third proportional to 307,406 and 470,437 is: 719,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,406 : 470,437 = 470,437 : x
  2. Step 2: Convert to fraction form
    307,406/470,437 = 470,437/x
  3. Step 3: Cross multiply
    307,406x = 470,437 × 470,437
  4. Step 4: Simplify right side
    307,406x = 221,310,970,969
  5. Step 5: Solve for x
    x = 221,310,970,969/307,406
  6. Step 6: Final answer
    x = 719,930.55

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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.