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Finding the Third Proportional to 76,594 and 112,316

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Solution

The third proportional to 76,594 and 112,316 is: 164,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594 : 112,316 = 112,316 : x
  2. Step 2: Convert to fraction form
    76,594/112,316 = 112,316/x
  3. Step 3: Cross multiply
    76,594x = 112,316 × 112,316
  4. Step 4: Simplify right side
    76,594x = 12,614,883,856
  5. Step 5: Solve for x
    x = 12,614,883,856/76,594
  6. Step 6: Final answer
    x = 164,698.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.