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Finding the Third Proportional to 420,376 and 640,284

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Solution

The third proportional to 420,376 and 640,284 is: 975,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,376 : 640,284 = 640,284 : x
  2. Step 2: Convert to fraction form
    420,376/640,284 = 640,284/x
  3. Step 3: Cross multiply
    420,376x = 640,284 × 640,284
  4. Step 4: Simplify right side
    420,376x = 409,963,600,656
  5. Step 5: Solve for x
    x = 409,963,600,656/420,376
  6. Step 6: Final answer
    x = 975,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.