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Finding the Third Proportional to 229,020 and 488,480

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Solution

The third proportional to 229,020 and 488,480 is: 1,041,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,020 : 488,480 = 488,480 : x
  2. Step 2: Convert to fraction form
    229,020/488,480 = 488,480/x
  3. Step 3: Cross multiply
    229,020x = 488,480 × 488,480
  4. Step 4: Simplify right side
    229,020x = 238,612,710,400
  5. Step 5: Solve for x
    x = 238,612,710,400/229,020
  6. Step 6: Final answer
    x = 1,041,885.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.