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Finding the Third Proportional to 255,566 and 400,095

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Solution

The third proportional to 255,566 and 400,095 is: 626,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,566 : 400,095 = 400,095 : x
  2. Step 2: Convert to fraction form
    255,566/400,095 = 400,095/x
  3. Step 3: Cross multiply
    255,566x = 400,095 × 400,095
  4. Step 4: Simplify right side
    255,566x = 160,076,009,025
  5. Step 5: Solve for x
    x = 160,076,009,025/255,566
  6. Step 6: Final answer
    x = 626,358.78

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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.