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Finding the Third Proportional to 523,400 and 830,128

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Solution

The third proportional to 523,400 and 830,128 is: 1,316,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,400 : 830,128 = 830,128 : x
  2. Step 2: Convert to fraction form
    523,400/830,128 = 830,128/x
  3. Step 3: Cross multiply
    523,400x = 830,128 × 830,128
  4. Step 4: Simplify right side
    523,400x = 689,112,496,384
  5. Step 5: Solve for x
    x = 689,112,496,384/523,400
  6. Step 6: Final answer
    x = 1,316,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.