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Finding the Third Proportional to 282,279.94 and 402,400.13

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Solution

The third proportional to 282,279.94 and 402,400.13 is: 573,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,279.94 : 402,400.13 = 402,400.13 : x
  2. Step 2: Convert to fraction form
    282,279.94/402,400.13 = 402,400.13/x
  3. Step 3: Cross multiply
    282,279.94x = 402,400.13 × 402,400.13
  4. Step 4: Simplify right side
    282,279.94x = 161,925,860,600.02
  5. Step 5: Solve for x
    x = 161,925,860,600.02/282,279.94
  6. Step 6: Final answer
    x = 573,635.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.