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Finding the Third Proportional to 315,036 and 495,516

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Solution

The third proportional to 315,036 and 495,516 is: 779,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,036 : 495,516 = 495,516 : x
  2. Step 2: Convert to fraction form
    315,036/495,516 = 495,516/x
  3. Step 3: Cross multiply
    315,036x = 495,516 × 495,516
  4. Step 4: Simplify right side
    315,036x = 245,536,106,256
  5. Step 5: Solve for x
    x = 245,536,106,256/315,036
  6. Step 6: Final answer
    x = 779,390.63

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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.