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Finding the Third Proportional to 458,918 and 674,871

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Solution

The third proportional to 458,918 and 674,871 is: 992,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,918 : 674,871 = 674,871 : x
  2. Step 2: Convert to fraction form
    458,918/674,871 = 674,871/x
  3. Step 3: Cross multiply
    458,918x = 674,871 × 674,871
  4. Step 4: Simplify right side
    458,918x = 455,450,866,641
  5. Step 5: Solve for x
    x = 455,450,866,641/458,918
  6. Step 6: Final answer
    x = 992,444.98

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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.