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Finding the Third Proportional to 191,459.25 and 317,990.25

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Solution

The third proportional to 191,459.25 and 317,990.25 is: 528,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,459.25 : 317,990.25 = 317,990.25 : x
  2. Step 2: Convert to fraction form
    191,459.25/317,990.25 = 317,990.25/x
  3. Step 3: Cross multiply
    191,459.25x = 317,990.25 × 317,990.25
  4. Step 4: Simplify right side
    191,459.25x = 101,117,799,095.06
  5. Step 5: Solve for x
    x = 101,117,799,095.06/191,459.25
  6. Step 6: Final answer
    x = 528,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.