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Finding the Third Proportional to 389,496 and 601,440

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Solution

The third proportional to 389,496 and 601,440 is: 928,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,496 : 601,440 = 601,440 : x
  2. Step 2: Convert to fraction form
    389,496/601,440 = 601,440/x
  3. Step 3: Cross multiply
    389,496x = 601,440 × 601,440
  4. Step 4: Simplify right side
    389,496x = 361,730,073,600
  5. Step 5: Solve for x
    x = 361,730,073,600/389,496
  6. Step 6: Final answer
    x = 928,713.19

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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.