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Finding the Third Proportional to 305,312 and 619,248

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Solution

The third proportional to 305,312 and 619,248 is: 1,255,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,312 : 619,248 = 619,248 : x
  2. Step 2: Convert to fraction form
    305,312/619,248 = 619,248/x
  3. Step 3: Cross multiply
    305,312x = 619,248 × 619,248
  4. Step 4: Simplify right side
    305,312x = 383,468,085,504
  5. Step 5: Solve for x
    x = 383,468,085,504/305,312
  6. Step 6: Final answer
    x = 1,255,987.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.