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Finding the Third Proportional to 218,572 and 473,431

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Solution

The third proportional to 218,572 and 473,431 is: 1,025,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,572 : 473,431 = 473,431 : x
  2. Step 2: Convert to fraction form
    218,572/473,431 = 473,431/x
  3. Step 3: Cross multiply
    218,572x = 473,431 × 473,431
  4. Step 4: Simplify right side
    218,572x = 224,136,911,761
  5. Step 5: Solve for x
    x = 224,136,911,761/218,572
  6. Step 6: Final answer
    x = 1,025,460.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.