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Finding the Third Proportional to 612,984 and 920,304

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Solution

The third proportional to 612,984 and 920,304 is: 1,381,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,984 : 920,304 = 920,304 : x
  2. Step 2: Convert to fraction form
    612,984/920,304 = 920,304/x
  3. Step 3: Cross multiply
    612,984x = 920,304 × 920,304
  4. Step 4: Simplify right side
    612,984x = 846,959,452,416
  5. Step 5: Solve for x
    x = 846,959,452,416/612,984
  6. Step 6: Final answer
    x = 1,381,699.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.