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Finding the Third Proportional to 346,290 and 519,435

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Solution

The third proportional to 346,290 and 519,435 is: 779,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,290 : 519,435 = 519,435 : x
  2. Step 2: Convert to fraction form
    346,290/519,435 = 519,435/x
  3. Step 3: Cross multiply
    346,290x = 519,435 × 519,435
  4. Step 4: Simplify right side
    346,290x = 269,812,719,225
  5. Step 5: Solve for x
    x = 269,812,719,225/346,290
  6. Step 6: Final answer
    x = 779,152.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.