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Finding the Third Proportional to 255,649.50 and 400,160.25

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Solution

The third proportional to 255,649.50 and 400,160.25 is: 626,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,649.50 : 400,160.25 = 400,160.25 : x
  2. Step 2: Convert to fraction form
    255,649.50/400,160.25 = 400,160.25/x
  3. Step 3: Cross multiply
    255,649.50x = 400,160.25 × 400,160.25
  4. Step 4: Simplify right side
    255,649.50x = 160,128,225,680.06
  5. Step 5: Solve for x
    x = 160,128,225,680.06/255,649.50
  6. Step 6: Final answer
    x = 626,358.45

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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.