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Finding the Third Proportional to 291,237 and 636,354

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Solution

The third proportional to 291,237 and 636,354 is: 1,390,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,237 : 636,354 = 636,354 : x
  2. Step 2: Convert to fraction form
    291,237/636,354 = 636,354/x
  3. Step 3: Cross multiply
    291,237x = 636,354 × 636,354
  4. Step 4: Simplify right side
    291,237x = 404,946,413,316
  5. Step 5: Solve for x
    x = 404,946,413,316/291,237
  6. Step 6: Final answer
    x = 1,390,436.01

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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.