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Finding the Third Proportional to 282,347 and 424,146

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Solution

The third proportional to 282,347 and 424,146 is: 637,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,347 : 424,146 = 424,146 : x
  2. Step 2: Convert to fraction form
    282,347/424,146 = 424,146/x
  3. Step 3: Cross multiply
    282,347x = 424,146 × 424,146
  4. Step 4: Simplify right side
    282,347x = 179,899,829,316
  5. Step 5: Solve for x
    x = 179,899,829,316/282,347
  6. Step 6: Final answer
    x = 637,158.64

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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.