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Finding the Third Proportional to 388,418 and 590,733

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Solution

The third proportional to 388,418 and 590,733 is: 898,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,418 : 590,733 = 590,733 : x
  2. Step 2: Convert to fraction form
    388,418/590,733 = 590,733/x
  3. Step 3: Cross multiply
    388,418x = 590,733 × 590,733
  4. Step 4: Simplify right side
    388,418x = 348,965,477,289
  5. Step 5: Solve for x
    x = 348,965,477,289/388,418
  6. Step 6: Final answer
    x = 898,427.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.