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Finding the Third Proportional to 420,374 and 640,281

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Solution

The third proportional to 420,374 and 640,281 is: 975,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,374 : 640,281 = 640,281 : x
  2. Step 2: Convert to fraction form
    420,374/640,281 = 640,281/x
  3. Step 3: Cross multiply
    420,374x = 640,281 × 640,281
  4. Step 4: Simplify right side
    420,374x = 409,959,758,961
  5. Step 5: Solve for x
    x = 409,959,758,961/420,374
  6. Step 6: Final answer
    x = 975,226.25

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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.