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Finding the Third Proportional to 474,984 and 680,388

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Solution

The third proportional to 474,984 and 680,388 is: 974,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984 : 680,388 = 680,388 : x
  2. Step 2: Convert to fraction form
    474,984/680,388 = 680,388/x
  3. Step 3: Cross multiply
    474,984x = 680,388 × 680,388
  4. Step 4: Simplify right side
    474,984x = 462,927,830,544
  5. Step 5: Solve for x
    x = 462,927,830,544/474,984
  6. Step 6: Final answer
    x = 974,617.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.