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Finding the Third Proportional to 458,259.75 and 684,315

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Solution

The third proportional to 458,259.75 and 684,315 is: 1,021,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,259.75 : 684,315 = 684,315 : x
  2. Step 2: Convert to fraction form
    458,259.75/684,315 = 684,315/x
  3. Step 3: Cross multiply
    458,259.75x = 684,315 × 684,315
  4. Step 4: Simplify right side
    458,259.75x = 468,287,019,225
  5. Step 5: Solve for x
    x = 468,287,019,225/458,259.75
  6. Step 6: Final answer
    x = 1,021,881.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.