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Finding the Third Proportional to 427,875.75 and 660,264.75

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Solution

The third proportional to 427,875.75 and 660,264.75 is: 1,018,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,875.75 : 660,264.75 = 660,264.75 : x
  2. Step 2: Convert to fraction form
    427,875.75/660,264.75 = 660,264.75/x
  3. Step 3: Cross multiply
    427,875.75x = 660,264.75 × 660,264.75
  4. Step 4: Simplify right side
    427,875.75x = 435,949,540,092.56
  5. Step 5: Solve for x
    x = 435,949,540,092.56/427,875.75
  6. Step 6: Final answer
    x = 1,018,869.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.