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Finding the Third Proportional to 236,428 and 512,905

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Solution

The third proportional to 236,428 and 512,905 is: 1,112,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,428 : 512,905 = 512,905 : x
  2. Step 2: Convert to fraction form
    236,428/512,905 = 512,905/x
  3. Step 3: Cross multiply
    236,428x = 512,905 × 512,905
  4. Step 4: Simplify right side
    236,428x = 263,071,539,025
  5. Step 5: Solve for x
    x = 263,071,539,025/236,428
  6. Step 6: Final answer
    x = 1,112,691.98

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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.