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Finding the Third Proportional to 460,040 and 618,284

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Solution

The third proportional to 460,040 and 618,284 is: 830,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,040 : 618,284 = 618,284 : x
  2. Step 2: Convert to fraction form
    460,040/618,284 = 618,284/x
  3. Step 3: Cross multiply
    460,040x = 618,284 × 618,284
  4. Step 4: Simplify right side
    460,040x = 382,275,104,656
  5. Step 5: Solve for x
    x = 382,275,104,656/460,040
  6. Step 6: Final answer
    x = 830,960.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.