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Finding the Third Proportional to 282,301.50 and 402,407

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Solution

The third proportional to 282,301.50 and 402,407 is: 573,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,301.50 : 402,407 = 402,407 : x
  2. Step 2: Convert to fraction form
    282,301.50/402,407 = 402,407/x
  3. Step 3: Cross multiply
    282,301.50x = 402,407 × 402,407
  4. Step 4: Simplify right side
    282,301.50x = 161,931,393,649
  5. Step 5: Solve for x
    x = 161,931,393,649/282,301.50
  6. Step 6: Final answer
    x = 573,611.52

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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.