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Finding the Third Proportional to 413,943 and 607,281

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Solution

The third proportional to 413,943 and 607,281 is: 890,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,943 : 607,281 = 607,281 : x
  2. Step 2: Convert to fraction form
    413,943/607,281 = 607,281/x
  3. Step 3: Cross multiply
    413,943x = 607,281 × 607,281
  4. Step 4: Simplify right side
    413,943x = 368,790,212,961
  5. Step 5: Solve for x
    x = 368,790,212,961/413,943
  6. Step 6: Final answer
    x = 890,920.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.