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Finding the Third Proportional to 307,664 and 472,270

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Solution

The third proportional to 307,664 and 472,270 is: 724,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,664 : 472,270 = 472,270 : x
  2. Step 2: Convert to fraction form
    307,664/472,270 = 472,270/x
  3. Step 3: Cross multiply
    307,664x = 472,270 × 472,270
  4. Step 4: Simplify right side
    307,664x = 223,038,952,900
  5. Step 5: Solve for x
    x = 223,038,952,900/307,664
  6. Step 6: Final answer
    x = 724,943.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.