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Finding the Third Proportional to 416,988 and 671,409

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Solution

The third proportional to 416,988 and 671,409 is: 1,081,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,988 : 671,409 = 671,409 : x
  2. Step 2: Convert to fraction form
    416,988/671,409 = 671,409/x
  3. Step 3: Cross multiply
    416,988x = 671,409 × 671,409
  4. Step 4: Simplify right side
    416,988x = 450,790,045,281
  5. Step 5: Solve for x
    x = 450,790,045,281/416,988
  6. Step 6: Final answer
    x = 1,081,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.