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Finding the Third Proportional to 389,615 and 598,464

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Solution

The third proportional to 389,615 and 598,464 is: 919,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,615 : 598,464 = 598,464 : x
  2. Step 2: Convert to fraction form
    389,615/598,464 = 598,464/x
  3. Step 3: Cross multiply
    389,615x = 598,464 × 598,464
  4. Step 4: Simplify right side
    389,615x = 358,159,159,296
  5. Step 5: Solve for x
    x = 358,159,159,296/389,615
  6. Step 6: Final answer
    x = 919,264.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.