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Finding the Third Proportional to 307,400 and 470,428

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Solution

The third proportional to 307,400 and 470,428 is: 719,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,400 : 470,428 = 470,428 : x
  2. Step 2: Convert to fraction form
    307,400/470,428 = 470,428/x
  3. Step 3: Cross multiply
    307,400x = 470,428 × 470,428
  4. Step 4: Simplify right side
    307,400x = 221,302,503,184
  5. Step 5: Solve for x
    x = 221,302,503,184/307,400
  6. Step 6: Final answer
    x = 719,917.06

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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.