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Finding the Third Proportional to 470,470 and 748,608

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Solution

The third proportional to 470,470 and 748,608 is: 1,191,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,470 : 748,608 = 748,608 : x
  2. Step 2: Convert to fraction form
    470,470/748,608 = 748,608/x
  3. Step 3: Cross multiply
    470,470x = 748,608 × 748,608
  4. Step 4: Simplify right side
    470,470x = 560,413,937,664
  5. Step 5: Solve for x
    x = 560,413,937,664/470,470
  6. Step 6: Final answer
    x = 1,191,178.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.