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Finding the Third Proportional to 428,984 and 652,700

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Solution

The third proportional to 428,984 and 652,700 is: 993,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,984 : 652,700 = 652,700 : x
  2. Step 2: Convert to fraction form
    428,984/652,700 = 652,700/x
  3. Step 3: Cross multiply
    428,984x = 652,700 × 652,700
  4. Step 4: Simplify right side
    428,984x = 426,017,290,000
  5. Step 5: Solve for x
    x = 426,017,290,000/428,984
  6. Step 6: Final answer
    x = 993,084.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.