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Finding the Third Proportional to 180,020 and 284,688

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Solution

The third proportional to 180,020 and 284,688 is: 450,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,020 : 284,688 = 284,688 : x
  2. Step 2: Convert to fraction form
    180,020/284,688 = 284,688/x
  3. Step 3: Cross multiply
    180,020x = 284,688 × 284,688
  4. Step 4: Simplify right side
    180,020x = 81,047,257,344
  5. Step 5: Solve for x
    x = 81,047,257,344/180,020
  6. Step 6: Final answer
    x = 450,212.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.