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Finding the Third Proportional to 403,836 and 625,222

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Solution

The third proportional to 403,836 and 625,222 is: 967,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,836 : 625,222 = 625,222 : x
  2. Step 2: Convert to fraction form
    403,836/625,222 = 625,222/x
  3. Step 3: Cross multiply
    403,836x = 625,222 × 625,222
  4. Step 4: Simplify right side
    403,836x = 390,902,549,284
  5. Step 5: Solve for x
    x = 390,902,549,284/403,836
  6. Step 6: Final answer
    x = 967,973.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.