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Finding the Third Proportional to 302,703 and 456,360

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Solution

The third proportional to 302,703 and 456,360 is: 688,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,703 : 456,360 = 456,360 : x
  2. Step 2: Convert to fraction form
    302,703/456,360 = 456,360/x
  3. Step 3: Cross multiply
    302,703x = 456,360 × 456,360
  4. Step 4: Simplify right side
    302,703x = 208,264,449,600
  5. Step 5: Solve for x
    x = 208,264,449,600/302,703
  6. Step 6: Final answer
    x = 688,015.81

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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.