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Finding the Third Proportional to 311,798 and 456,033

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Solution

The third proportional to 311,798 and 456,033 is: 666,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,798 : 456,033 = 456,033 : x
  2. Step 2: Convert to fraction form
    311,798/456,033 = 456,033/x
  3. Step 3: Cross multiply
    311,798x = 456,033 × 456,033
  4. Step 4: Simplify right side
    311,798x = 207,966,097,089
  5. Step 5: Solve for x
    x = 207,966,097,089/311,798
  6. Step 6: Final answer
    x = 666,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.