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Finding the Third Proportional to 515,440.13 and 757,712.81

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Solution

The third proportional to 515,440.13 and 757,712.81 is: 1,113,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,440.13 : 757,712.81 = 757,712.81 : x
  2. Step 2: Convert to fraction form
    515,440.13/757,712.81 = 757,712.81/x
  3. Step 3: Cross multiply
    515,440.13x = 757,712.81 × 757,712.81
  4. Step 4: Simplify right side
    515,440.13x = 574,128,706,226.66
  5. Step 5: Solve for x
    x = 574,128,706,226.66/515,440.13
  6. Step 6: Final answer
    x = 1,113,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.