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Finding the Third Proportional to 291,220 and 636,316

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Solution

The third proportional to 291,220 and 636,316 is: 1,390,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220 : 636,316 = 636,316 : x
  2. Step 2: Convert to fraction form
    291,220/636,316 = 636,316/x
  3. Step 3: Cross multiply
    291,220x = 636,316 × 636,316
  4. Step 4: Simplify right side
    291,220x = 404,898,051,856
  5. Step 5: Solve for x
    x = 404,898,051,856/291,220
  6. Step 6: Final answer
    x = 1,390,351.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.