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Finding the Third Proportional to 282,369 and 424,178

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Solution

The third proportional to 282,369 and 424,178 is: 637,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369 : 424,178 = 424,178 : x
  2. Step 2: Convert to fraction form
    282,369/424,178 = 424,178/x
  3. Step 3: Cross multiply
    282,369x = 424,178 × 424,178
  4. Step 4: Simplify right side
    282,369x = 179,926,975,684
  5. Step 5: Solve for x
    x = 179,926,975,684/282,369
  6. Step 6: Final answer
    x = 637,205.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.