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Finding the Third Proportional to 287,484 and 443,220

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Solution

The third proportional to 287,484 and 443,220 is: 683,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,484 : 443,220 = 443,220 : x
  2. Step 2: Convert to fraction form
    287,484/443,220 = 443,220/x
  3. Step 3: Cross multiply
    287,484x = 443,220 × 443,220
  4. Step 4: Simplify right side
    287,484x = 196,443,968,400
  5. Step 5: Solve for x
    x = 196,443,968,400/287,484
  6. Step 6: Final answer
    x = 683,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.