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Finding the Third Proportional to 477,276 and 668,984

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Solution

The third proportional to 477,276 and 668,984 is: 937,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,276 : 668,984 = 668,984 : x
  2. Step 2: Convert to fraction form
    477,276/668,984 = 668,984/x
  3. Step 3: Cross multiply
    477,276x = 668,984 × 668,984
  4. Step 4: Simplify right side
    477,276x = 447,539,592,256
  5. Step 5: Solve for x
    x = 447,539,592,256/477,276
  6. Step 6: Final answer
    x = 937,695.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.