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Finding the Third Proportional to 345,061 and 529,639

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Solution

The third proportional to 345,061 and 529,639 is: 812,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,061 : 529,639 = 529,639 : x
  2. Step 2: Convert to fraction form
    345,061/529,639 = 529,639/x
  3. Step 3: Cross multiply
    345,061x = 529,639 × 529,639
  4. Step 4: Simplify right side
    345,061x = 280,517,470,321
  5. Step 5: Solve for x
    x = 280,517,470,321/345,061
  6. Step 6: Final answer
    x = 812,950.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.