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Finding the Third Proportional to 216,338 and 473,459

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Solution

The third proportional to 216,338 and 473,459 is: 1,036,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,338 : 473,459 = 473,459 : x
  2. Step 2: Convert to fraction form
    216,338/473,459 = 473,459/x
  3. Step 3: Cross multiply
    216,338x = 473,459 × 473,459
  4. Step 4: Simplify right side
    216,338x = 224,163,424,681
  5. Step 5: Solve for x
    x = 224,163,424,681/216,338
  6. Step 6: Final answer
    x = 1,036,172.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.