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Finding the Third Proportional to 313,810 and 480,139

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Solution

The third proportional to 313,810 and 480,139 is: 734,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810 : 480,139 = 480,139 : x
  2. Step 2: Convert to fraction form
    313,810/480,139 = 480,139/x
  3. Step 3: Cross multiply
    313,810x = 480,139 × 480,139
  4. Step 4: Simplify right side
    313,810x = 230,533,459,321
  5. Step 5: Solve for x
    x = 230,533,459,321/313,810
  6. Step 6: Final answer
    x = 734,627.51

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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.