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Finding the Third Proportional to 140,432 and 307,102

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Solution

The third proportional to 140,432 and 307,102 is: 671,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,432 : 307,102 = 307,102 : x
  2. Step 2: Convert to fraction form
    140,432/307,102 = 307,102/x
  3. Step 3: Cross multiply
    140,432x = 307,102 × 307,102
  4. Step 4: Simplify right side
    140,432x = 94,311,638,404
  5. Step 5: Solve for x
    x = 94,311,638,404/140,432
  6. Step 6: Final answer
    x = 671,582.25

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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.