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Finding the Third Proportional to 191,454.47 and 317,981.95

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Solution

The third proportional to 191,454.47 and 317,981.95 is: 528,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,454.47 : 317,981.95 = 317,981.95 : x
  2. Step 2: Convert to fraction form
    191,454.47/317,981.95 = 317,981.95/x
  3. Step 3: Cross multiply
    191,454.47x = 317,981.95 × 317,981.95
  4. Step 4: Simplify right side
    191,454.47x = 101,112,522,513.19
  5. Step 5: Solve for x
    x = 101,112,522,513.19/191,454.47
  6. Step 6: Final answer
    x = 528,128.30

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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.