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Finding the Third Proportional to 141,490 and 310,196

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Solution

The third proportional to 141,490 and 310,196 is: 680,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,490 : 310,196 = 310,196 : x
  2. Step 2: Convert to fraction form
    141,490/310,196 = 310,196/x
  3. Step 3: Cross multiply
    141,490x = 310,196 × 310,196
  4. Step 4: Simplify right side
    141,490x = 96,221,558,416
  5. Step 5: Solve for x
    x = 96,221,558,416/141,490
  6. Step 6: Final answer
    x = 680,059.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.