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Finding the Third Proportional to 145,884 and 316,665.75

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Solution

The third proportional to 145,884 and 316,665.75 is: 687,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,884 : 316,665.75 = 316,665.75 : x
  2. Step 2: Convert to fraction form
    145,884/316,665.75 = 316,665.75/x
  3. Step 3: Cross multiply
    145,884x = 316,665.75 × 316,665.75
  4. Step 4: Simplify right side
    145,884x = 100,277,197,223.06
  5. Step 5: Solve for x
    x = 100,277,197,223.06/145,884
  6. Step 6: Final answer
    x = 687,376.25

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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.