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Finding the Third Proportional to 145,032 and 316,632

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Solution

The third proportional to 145,032 and 316,632 is: 691,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,032 : 316,632 = 316,632 : x
  2. Step 2: Convert to fraction form
    145,032/316,632 = 316,632/x
  3. Step 3: Cross multiply
    145,032x = 316,632 × 316,632
  4. Step 4: Simplify right side
    145,032x = 100,255,823,424
  5. Step 5: Solve for x
    x = 100,255,823,424/145,032
  6. Step 6: Final answer
    x = 691,266.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.