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Finding the Third Proportional to 316,569.75 and 665,944.50

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Solution

The third proportional to 316,569.75 and 665,944.50 is: 1,400,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,569.75 : 665,944.50 = 665,944.50 : x
  2. Step 2: Convert to fraction form
    316,569.75/665,944.50 = 665,944.50/x
  3. Step 3: Cross multiply
    316,569.75x = 665,944.50 × 665,944.50
  4. Step 4: Simplify right side
    316,569.75x = 443,482,077,080.25
  5. Step 5: Solve for x
    x = 443,482,077,080.25/316,569.75
  6. Step 6: Final answer
    x = 1,400,898.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.