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Finding the Third Proportional to 72,480 and 102,646

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Solution

The third proportional to 72,480 and 102,646 is: 145,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,480 : 102,646 = 102,646 : x
  2. Step 2: Convert to fraction form
    72,480/102,646 = 102,646/x
  3. Step 3: Cross multiply
    72,480x = 102,646 × 102,646
  4. Step 4: Simplify right side
    72,480x = 10,536,201,316
  5. Step 5: Solve for x
    x = 10,536,201,316/72,480
  6. Step 6: Final answer
    x = 145,367.02

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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.