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Finding the Third Proportional to 403,424 and 624,646

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Solution

The third proportional to 403,424 and 624,646 is: 967,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,424 : 624,646 = 624,646 : x
  2. Step 2: Convert to fraction form
    403,424/624,646 = 624,646/x
  3. Step 3: Cross multiply
    403,424x = 624,646 × 624,646
  4. Step 4: Simplify right side
    403,424x = 390,182,625,316
  5. Step 5: Solve for x
    x = 390,182,625,316/403,424
  6. Step 6: Final answer
    x = 967,177.52

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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.