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Finding the Third Proportional to 215,019 and 424,746

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Solution

The third proportional to 215,019 and 424,746 is: 839,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,019 : 424,746 = 424,746 : x
  2. Step 2: Convert to fraction form
    215,019/424,746 = 424,746/x
  3. Step 3: Cross multiply
    215,019x = 424,746 × 424,746
  4. Step 4: Simplify right side
    215,019x = 180,409,164,516
  5. Step 5: Solve for x
    x = 180,409,164,516/215,019
  6. Step 6: Final answer
    x = 839,038.25

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.