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Finding the Third Proportional to 210,426 and 317,826

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Solution

The third proportional to 210,426 and 317,826 is: 480,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,426 : 317,826 = 317,826 : x
  2. Step 2: Convert to fraction form
    210,426/317,826 = 317,826/x
  3. Step 3: Cross multiply
    210,426x = 317,826 × 317,826
  4. Step 4: Simplify right side
    210,426x = 101,013,366,276
  5. Step 5: Solve for x
    x = 101,013,366,276/210,426
  6. Step 6: Final answer
    x = 480,042.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.