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Finding the Third Proportional to 402,972 and 882,360

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Solution

The third proportional to 402,972 and 882,360 is: 1,932,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,972 : 882,360 = 882,360 : x
  2. Step 2: Convert to fraction form
    402,972/882,360 = 882,360/x
  3. Step 3: Cross multiply
    402,972x = 882,360 × 882,360
  4. Step 4: Simplify right side
    402,972x = 778,559,169,600
  5. Step 5: Solve for x
    x = 778,559,169,600/402,972
  6. Step 6: Final answer
    x = 1,932,042.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.