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Finding the Third Proportional to 316,660 and 495,726

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Solution

The third proportional to 316,660 and 495,726 is: 776,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,660 : 495,726 = 495,726 : x
  2. Step 2: Convert to fraction form
    316,660/495,726 = 495,726/x
  3. Step 3: Cross multiply
    316,660x = 495,726 × 495,726
  4. Step 4: Simplify right side
    316,660x = 245,744,267,076
  5. Step 5: Solve for x
    x = 245,744,267,076/316,660
  6. Step 6: Final answer
    x = 776,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.