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Finding the Third Proportional to 292,106 and 636,820

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Solution

The third proportional to 292,106 and 636,820 is: 1,388,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,106 : 636,820 = 636,820 : x
  2. Step 2: Convert to fraction form
    292,106/636,820 = 636,820/x
  3. Step 3: Cross multiply
    292,106x = 636,820 × 636,820
  4. Step 4: Simplify right side
    292,106x = 405,539,712,400
  5. Step 5: Solve for x
    x = 405,539,712,400/292,106
  6. Step 6: Final answer
    x = 1,388,330.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.