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Finding the Third Proportional to 145,953 and 316,820.25

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Solution

The third proportional to 145,953 and 316,820.25 is: 687,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953 : 316,820.25 = 316,820.25 : x
  2. Step 2: Convert to fraction form
    145,953/316,820.25 = 316,820.25/x
  3. Step 3: Cross multiply
    145,953x = 316,820.25 × 316,820.25
  4. Step 4: Simplify right side
    145,953x = 100,375,070,810.06
  5. Step 5: Solve for x
    x = 100,375,070,810.06/145,953
  6. Step 6: Final answer
    x = 687,721.87

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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.