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Finding the Third Proportional to 282,242 and 432,354

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Solution

The third proportional to 282,242 and 432,354 is: 662,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,242 : 432,354 = 432,354 : x
  2. Step 2: Convert to fraction form
    282,242/432,354 = 432,354/x
  3. Step 3: Cross multiply
    282,242x = 432,354 × 432,354
  4. Step 4: Simplify right side
    282,242x = 186,929,981,316
  5. Step 5: Solve for x
    x = 186,929,981,316/282,242
  6. Step 6: Final answer
    x = 662,303.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.