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Finding the Third Proportional to 282,355 and 402,488

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Solution

The third proportional to 282,355 and 402,488 is: 573,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,355 : 402,488 = 402,488 : x
  2. Step 2: Convert to fraction form
    282,355/402,488 = 402,488/x
  3. Step 3: Cross multiply
    282,355x = 402,488 × 402,488
  4. Step 4: Simplify right side
    282,355x = 161,996,590,144
  5. Step 5: Solve for x
    x = 161,996,590,144/282,355
  6. Step 6: Final answer
    x = 573,733.74

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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.