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Finding the Third Proportional to 302,688 and 456,336

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Solution

The third proportional to 302,688 and 456,336 is: 687,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,688 : 456,336 = 456,336 : x
  2. Step 2: Convert to fraction form
    302,688/456,336 = 456,336/x
  3. Step 3: Cross multiply
    302,688x = 456,336 × 456,336
  4. Step 4: Simplify right side
    302,688x = 208,242,544,896
  5. Step 5: Solve for x
    x = 208,242,544,896/302,688
  6. Step 6: Final answer
    x = 687,977.54

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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.