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Finding the Third Proportional to 213,877.13 and 299,018.25

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Solution

The third proportional to 213,877.13 and 299,018.25 is: 418,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,877.13 : 299,018.25 = 299,018.25 : x
  2. Step 2: Convert to fraction form
    213,877.13/299,018.25 = 299,018.25/x
  3. Step 3: Cross multiply
    213,877.13x = 299,018.25 × 299,018.25
  4. Step 4: Simplify right side
    213,877.13x = 89,411,913,833.06
  5. Step 5: Solve for x
    x = 89,411,913,833.06/213,877.13
  6. Step 6: Final answer
    x = 418,052.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.