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Finding the Third Proportional to 147,798 and 316,596

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Solution

The third proportional to 147,798 and 316,596 is: 678,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 316,596 = 316,596 : x
  2. Step 2: Convert to fraction form
    147,798/316,596 = 316,596/x
  3. Step 3: Cross multiply
    147,798x = 316,596 × 316,596
  4. Step 4: Simplify right side
    147,798x = 100,233,027,216
  5. Step 5: Solve for x
    x = 100,233,027,216/147,798
  6. Step 6: Final answer
    x = 678,175.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.