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Finding the Third Proportional to 280,312 and 446,248

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Solution

The third proportional to 280,312 and 446,248 is: 710,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,312 : 446,248 = 446,248 : x
  2. Step 2: Convert to fraction form
    280,312/446,248 = 446,248/x
  3. Step 3: Cross multiply
    280,312x = 446,248 × 446,248
  4. Step 4: Simplify right side
    280,312x = 199,137,277,504
  5. Step 5: Solve for x
    x = 199,137,277,504/280,312
  6. Step 6: Final answer
    x = 710,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.