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Finding the Third Proportional to 145,281 and 314,687

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Solution

The third proportional to 145,281 and 314,687 is: 681,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,281 : 314,687 = 314,687 : x
  2. Step 2: Convert to fraction form
    145,281/314,687 = 314,687/x
  3. Step 3: Cross multiply
    145,281x = 314,687 × 314,687
  4. Step 4: Simplify right side
    145,281x = 99,027,907,969
  5. Step 5: Solve for x
    x = 99,027,907,969/145,281
  6. Step 6: Final answer
    x = 681,630.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.