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Finding the Third Proportional to 426,222 and 636,417

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Solution

The third proportional to 426,222 and 636,417 is: 950,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,222 : 636,417 = 636,417 : x
  2. Step 2: Convert to fraction form
    426,222/636,417 = 636,417/x
  3. Step 3: Cross multiply
    426,222x = 636,417 × 636,417
  4. Step 4: Simplify right side
    426,222x = 405,026,597,889
  5. Step 5: Solve for x
    x = 405,026,597,889/426,222
  6. Step 6: Final answer
    x = 950,271.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.