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Finding the Third Proportional to 315,054 and 424,467

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Solution

The third proportional to 315,054 and 424,467 is: 571,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,054 : 424,467 = 424,467 : x
  2. Step 2: Convert to fraction form
    315,054/424,467 = 424,467/x
  3. Step 3: Cross multiply
    315,054x = 424,467 × 424,467
  4. Step 4: Simplify right side
    315,054x = 180,172,234,089
  5. Step 5: Solve for x
    x = 180,172,234,089/315,054
  6. Step 6: Final answer
    x = 571,877.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.