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Finding the Third Proportional to 70,528 and 100,284

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Solution

The third proportional to 70,528 and 100,284 is: 142,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,528 : 100,284 = 100,284 : x
  2. Step 2: Convert to fraction form
    70,528/100,284 = 100,284/x
  3. Step 3: Cross multiply
    70,528x = 100,284 × 100,284
  4. Step 4: Simplify right side
    70,528x = 10,056,880,656
  5. Step 5: Solve for x
    x = 10,056,880,656/70,528
  6. Step 6: Final answer
    x = 142,594.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.