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Finding the Third Proportional to 136,712 and 287,248

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Solution

The third proportional to 136,712 and 287,248 is: 603,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,712 : 287,248 = 287,248 : x
  2. Step 2: Convert to fraction form
    136,712/287,248 = 287,248/x
  3. Step 3: Cross multiply
    136,712x = 287,248 × 287,248
  4. Step 4: Simplify right side
    136,712x = 82,511,413,504
  5. Step 5: Solve for x
    x = 82,511,413,504/136,712
  6. Step 6: Final answer
    x = 603,541.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.