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Finding the Third Proportional to 489,348 and 756,276

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Solution

The third proportional to 489,348 and 756,276 is: 1,168,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,348 : 756,276 = 756,276 : x
  2. Step 2: Convert to fraction form
    489,348/756,276 = 756,276/x
  3. Step 3: Cross multiply
    489,348x = 756,276 × 756,276
  4. Step 4: Simplify right side
    489,348x = 571,953,388,176
  5. Step 5: Solve for x
    x = 571,953,388,176/489,348
  6. Step 6: Final answer
    x = 1,168,807.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.