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Finding the Third Proportional to 386,442 and 830,024

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Solution

The third proportional to 386,442 and 830,024 is: 1,782,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,442 : 830,024 = 830,024 : x
  2. Step 2: Convert to fraction form
    386,442/830,024 = 830,024/x
  3. Step 3: Cross multiply
    386,442x = 830,024 × 830,024
  4. Step 4: Simplify right side
    386,442x = 688,939,840,576
  5. Step 5: Solve for x
    x = 688,939,840,576/386,442
  6. Step 6: Final answer
    x = 1,782,776.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.