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Finding the Third Proportional to 316,661 and 495,728

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Solution

The third proportional to 316,661 and 495,728 is: 776,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,661 : 495,728 = 495,728 : x
  2. Step 2: Convert to fraction form
    316,661/495,728 = 495,728/x
  3. Step 3: Cross multiply
    316,661x = 495,728 × 495,728
  4. Step 4: Simplify right side
    316,661x = 245,746,249,984
  5. Step 5: Solve for x
    x = 245,746,249,984/316,661
  6. Step 6: Final answer
    x = 776,054.68

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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.