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Finding the Third Proportional to 485,640 and 760,160

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Solution

The third proportional to 485,640 and 760,160 is: 1,189,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,640 : 760,160 = 760,160 : x
  2. Step 2: Convert to fraction form
    485,640/760,160 = 760,160/x
  3. Step 3: Cross multiply
    485,640x = 760,160 × 760,160
  4. Step 4: Simplify right side
    485,640x = 577,843,225,600
  5. Step 5: Solve for x
    x = 577,843,225,600/485,640
  6. Step 6: Final answer
    x = 1,189,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.