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Finding the Third Proportional to 354,672 and 487,710

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Solution

The third proportional to 354,672 and 487,710 is: 670,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,672 : 487,710 = 487,710 : x
  2. Step 2: Convert to fraction form
    354,672/487,710 = 487,710/x
  3. Step 3: Cross multiply
    354,672x = 487,710 × 487,710
  4. Step 4: Simplify right side
    354,672x = 237,861,044,100
  5. Step 5: Solve for x
    x = 237,861,044,100/354,672
  6. Step 6: Final answer
    x = 670,650.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.