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Finding the Third Proportional to 307,402 and 470,431

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Solution

The third proportional to 307,402 and 470,431 is: 719,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,402 : 470,431 = 470,431 : x
  2. Step 2: Convert to fraction form
    307,402/470,431 = 470,431/x
  3. Step 3: Cross multiply
    307,402x = 470,431 × 470,431
  4. Step 4: Simplify right side
    307,402x = 221,305,325,761
  5. Step 5: Solve for x
    x = 221,305,325,761/307,402
  6. Step 6: Final answer
    x = 719,921.55

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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.