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Finding the Third Proportional to 305,758 and 719,432

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Solution

The third proportional to 305,758 and 719,432 is: 1,692,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,758 : 719,432 = 719,432 : x
  2. Step 2: Convert to fraction form
    305,758/719,432 = 719,432/x
  3. Step 3: Cross multiply
    305,758x = 719,432 × 719,432
  4. Step 4: Simplify right side
    305,758x = 517,582,402,624
  5. Step 5: Solve for x
    x = 517,582,402,624/305,758
  6. Step 6: Final answer
    x = 1,692,784.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.