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Finding the Third Proportional to 402,432.75 and 830,380.50

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Solution

The third proportional to 402,432.75 and 830,380.50 is: 1,713,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,432.75 : 830,380.50 = 830,380.50 : x
  2. Step 2: Convert to fraction form
    402,432.75/830,380.50 = 830,380.50/x
  3. Step 3: Cross multiply
    402,432.75x = 830,380.50 × 830,380.50
  4. Step 4: Simplify right side
    402,432.75x = 689,531,774,780.25
  5. Step 5: Solve for x
    x = 689,531,774,780.25/402,432.75
  6. Step 6: Final answer
    x = 1,713,408.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.