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Finding the Third Proportional to 403,413 and 624,627

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Solution

The third proportional to 403,413 and 624,627 is: 967,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,413 : 624,627 = 624,627 : x
  2. Step 2: Convert to fraction form
    403,413/624,627 = 624,627/x
  3. Step 3: Cross multiply
    403,413x = 624,627 × 624,627
  4. Step 4: Simplify right side
    403,413x = 390,158,889,129
  5. Step 5: Solve for x
    x = 390,158,889,129/403,413
  6. Step 6: Final answer
    x = 967,145.06

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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.