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Finding the Third Proportional to 291,798 and 687,015

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Solution

The third proportional to 291,798 and 687,015 is: 1,617,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,798 : 687,015 = 687,015 : x
  2. Step 2: Convert to fraction form
    291,798/687,015 = 687,015/x
  3. Step 3: Cross multiply
    291,798x = 687,015 × 687,015
  4. Step 4: Simplify right side
    291,798x = 471,989,610,225
  5. Step 5: Solve for x
    x = 471,989,610,225/291,798
  6. Step 6: Final answer
    x = 1,617,521.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.