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Finding the Third Proportional to 415,282 and 636,633

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Solution

The third proportional to 415,282 and 636,633 is: 975,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,282 : 636,633 = 636,633 : x
  2. Step 2: Convert to fraction form
    415,282/636,633 = 636,633/x
  3. Step 3: Cross multiply
    415,282x = 636,633 × 636,633
  4. Step 4: Simplify right side
    415,282x = 405,301,576,689
  5. Step 5: Solve for x
    x = 405,301,576,689/415,282
  6. Step 6: Final answer
    x = 975,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.