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Finding the Third Proportional to 30,528 and 45,984

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Solution

The third proportional to 30,528 and 45,984 is: 69,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,528 : 45,984 = 45,984 : x
  2. Step 2: Convert to fraction form
    30,528/45,984 = 45,984/x
  3. Step 3: Cross multiply
    30,528x = 45,984 × 45,984
  4. Step 4: Simplify right side
    30,528x = 2,114,528,256
  5. Step 5: Solve for x
    x = 2,114,528,256/30,528
  6. Step 6: Final answer
    x = 69,265.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.