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Finding the Third Proportional to 102,315 and 216,798

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Solution

The third proportional to 102,315 and 216,798 is: 459,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315 : 216,798 = 216,798 : x
  2. Step 2: Convert to fraction form
    102,315/216,798 = 216,798/x
  3. Step 3: Cross multiply
    102,315x = 216,798 × 216,798
  4. Step 4: Simplify right side
    102,315x = 47,001,372,804
  5. Step 5: Solve for x
    x = 47,001,372,804/102,315
  6. Step 6: Final answer
    x = 459,379.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.