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Finding the Third Proportional to 387,042 and 546,543

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Solution

The third proportional to 387,042 and 546,543 is: 771,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,042 : 546,543 = 546,543 : x
  2. Step 2: Convert to fraction form
    387,042/546,543 = 546,543/x
  3. Step 3: Cross multiply
    387,042x = 546,543 × 546,543
  4. Step 4: Simplify right side
    387,042x = 298,709,250,849
  5. Step 5: Solve for x
    x = 298,709,250,849/387,042
  6. Step 6: Final answer
    x = 771,774.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.