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Finding the Third Proportional to 290,907.84 and 640,135.69

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Solution

The third proportional to 290,907.84 and 640,135.69 is: 1,408,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,907.84 : 640,135.69 = 640,135.69 : x
  2. Step 2: Convert to fraction form
    290,907.84/640,135.69 = 640,135.69/x
  3. Step 3: Cross multiply
    290,907.84x = 640,135.69 × 640,135.69
  4. Step 4: Simplify right side
    290,907.84x = 409,773,698,411.10
  5. Step 5: Solve for x
    x = 409,773,698,411.10/290,907.84
  6. Step 6: Final answer
    x = 1,408,603.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.