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Finding the Third Proportional to 403,592 and 608,460

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Solution

The third proportional to 403,592 and 608,460 is: 917,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,592 : 608,460 = 608,460 : x
  2. Step 2: Convert to fraction form
    403,592/608,460 = 608,460/x
  3. Step 3: Cross multiply
    403,592x = 608,460 × 608,460
  4. Step 4: Simplify right side
    403,592x = 370,223,571,600
  5. Step 5: Solve for x
    x = 370,223,571,600/403,592
  6. Step 6: Final answer
    x = 917,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.