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Finding the Third Proportional to 152,979 and 220,335

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Solution

The third proportional to 152,979 and 220,335 is: 317,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,979 : 220,335 = 220,335 : x
  2. Step 2: Convert to fraction form
    152,979/220,335 = 220,335/x
  3. Step 3: Cross multiply
    152,979x = 220,335 × 220,335
  4. Step 4: Simplify right side
    152,979x = 48,547,512,225
  5. Step 5: Solve for x
    x = 48,547,512,225/152,979
  6. Step 6: Final answer
    x = 317,347.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.