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Finding the Third Proportional to 145,482 and 216,036

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Solution

The third proportional to 145,482 and 216,036 is: 320,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,482 : 216,036 = 216,036 : x
  2. Step 2: Convert to fraction form
    145,482/216,036 = 216,036/x
  3. Step 3: Cross multiply
    145,482x = 216,036 × 216,036
  4. Step 4: Simplify right side
    145,482x = 46,671,553,296
  5. Step 5: Solve for x
    x = 46,671,553,296/145,482
  6. Step 6: Final answer
    x = 320,806.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.