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Finding the Third Proportional to 346,288 and 519,432

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Solution

The third proportional to 346,288 and 519,432 is: 779,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,288 : 519,432 = 519,432 : x
  2. Step 2: Convert to fraction form
    346,288/519,432 = 519,432/x
  3. Step 3: Cross multiply
    346,288x = 519,432 × 519,432
  4. Step 4: Simplify right side
    346,288x = 269,809,602,624
  5. Step 5: Solve for x
    x = 269,809,602,624/346,288
  6. Step 6: Final answer
    x = 779,148

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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.