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Finding the Third Proportional to 180,312 and 385,639

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Solution

The third proportional to 180,312 and 385,639 is: 824,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,312 : 385,639 = 385,639 : x
  2. Step 2: Convert to fraction form
    180,312/385,639 = 385,639/x
  3. Step 3: Cross multiply
    180,312x = 385,639 × 385,639
  4. Step 4: Simplify right side
    180,312x = 148,717,438,321
  5. Step 5: Solve for x
    x = 148,717,438,321/180,312
  6. Step 6: Final answer
    x = 824,778.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.