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Finding the Third Proportional to 202,688 and 305,248

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Solution

The third proportional to 202,688 and 305,248 is: 459,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,688 : 305,248 = 305,248 : x
  2. Step 2: Convert to fraction form
    202,688/305,248 = 305,248/x
  3. Step 3: Cross multiply
    202,688x = 305,248 × 305,248
  4. Step 4: Simplify right side
    202,688x = 93,176,341,504
  5. Step 5: Solve for x
    x = 93,176,341,504/202,688
  6. Step 6: Final answer
    x = 459,703.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.