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Finding the Third Proportional to 243,695.25 and 427,875.75

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Solution

The third proportional to 243,695.25 and 427,875.75 is: 751,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,695.25 : 427,875.75 = 427,875.75 : x
  2. Step 2: Convert to fraction form
    243,695.25/427,875.75 = 427,875.75/x
  3. Step 3: Cross multiply
    243,695.25x = 427,875.75 × 427,875.75
  4. Step 4: Simplify right side
    243,695.25x = 183,077,657,438.06
  5. Step 5: Solve for x
    x = 183,077,657,438.06/243,695.25
  6. Step 6: Final answer
    x = 751,256.57

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.