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Finding the Third Proportional to 257,515 and 346,527

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Solution

The third proportional to 257,515 and 346,527 is: 466,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,515 : 346,527 = 346,527 : x
  2. Step 2: Convert to fraction form
    257,515/346,527 = 346,527/x
  3. Step 3: Cross multiply
    257,515x = 346,527 × 346,527
  4. Step 4: Simplify right side
    257,515x = 120,080,961,729
  5. Step 5: Solve for x
    x = 120,080,961,729/257,515
  6. Step 6: Final answer
    x = 466,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.