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Finding the Third Proportional to 430,516 and 590,982

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Solution

The third proportional to 430,516 and 590,982 is: 811,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,516 : 590,982 = 590,982 : x
  2. Step 2: Convert to fraction form
    430,516/590,982 = 590,982/x
  3. Step 3: Cross multiply
    430,516x = 590,982 × 590,982
  4. Step 4: Simplify right side
    430,516x = 349,259,724,324
  5. Step 5: Solve for x
    x = 349,259,724,324/430,516
  6. Step 6: Final answer
    x = 811,258.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.