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Finding the Third Proportional to 508,616 and 769,470

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Solution

The third proportional to 508,616 and 769,470 is: 1,164,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,616 : 769,470 = 769,470 : x
  2. Step 2: Convert to fraction form
    508,616/769,470 = 769,470/x
  3. Step 3: Cross multiply
    508,616x = 769,470 × 769,470
  4. Step 4: Simplify right side
    508,616x = 592,084,080,900
  5. Step 5: Solve for x
    x = 592,084,080,900/508,616
  6. Step 6: Final answer
    x = 1,164,108.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.