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Finding the Third Proportional to 403,532 and 608,320

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Solution

The third proportional to 403,532 and 608,320 is: 917,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,532 : 608,320 = 608,320 : x
  2. Step 2: Convert to fraction form
    403,532/608,320 = 608,320/x
  3. Step 3: Cross multiply
    403,532x = 608,320 × 608,320
  4. Step 4: Simplify right side
    403,532x = 370,053,222,400
  5. Step 5: Solve for x
    x = 370,053,222,400/403,532
  6. Step 6: Final answer
    x = 917,035.63

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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.