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Finding the Third Proportional to 365,312 and 573,211

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Solution

The third proportional to 365,312 and 573,211 is: 899,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,312 : 573,211 = 573,211 : x
  2. Step 2: Convert to fraction form
    365,312/573,211 = 573,211/x
  3. Step 3: Cross multiply
    365,312x = 573,211 × 573,211
  4. Step 4: Simplify right side
    365,312x = 328,570,850,521
  5. Step 5: Solve for x
    x = 328,570,850,521/365,312
  6. Step 6: Final answer
    x = 899,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.