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Finding the Third Proportional to 162,113.91 and 258,981.05

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Solution

The third proportional to 162,113.91 and 258,981.05 is: 413,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,113.91 : 258,981.05 = 258,981.05 : x
  2. Step 2: Convert to fraction form
    162,113.91/258,981.05 = 258,981.05/x
  3. Step 3: Cross multiply
    162,113.91x = 258,981.05 × 258,981.05
  4. Step 4: Simplify right side
    162,113.91x = 67,071,182,640.47
  5. Step 5: Solve for x
    x = 67,071,182,640.47/162,113.91
  6. Step 6: Final answer
    x = 413,728.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.