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Finding the Third Proportional to 402,480.50 and 830,477

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Solution

The third proportional to 402,480.50 and 830,477 is: 1,713,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,480.50 : 830,477 = 830,477 : x
  2. Step 2: Convert to fraction form
    402,480.50/830,477 = 830,477/x
  3. Step 3: Cross multiply
    402,480.50x = 830,477 × 830,477
  4. Step 4: Simplify right side
    402,480.50x = 689,692,047,529
  5. Step 5: Solve for x
    x = 689,692,047,529/402,480.50
  6. Step 6: Final answer
    x = 1,713,603.63

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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.