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Finding the Third Proportional to 145,373 and 308,359

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Solution

The third proportional to 145,373 and 308,359 is: 654,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,373 : 308,359 = 308,359 : x
  2. Step 2: Convert to fraction form
    145,373/308,359 = 308,359/x
  3. Step 3: Cross multiply
    145,373x = 308,359 × 308,359
  4. Step 4: Simplify right side
    145,373x = 95,085,272,881
  5. Step 5: Solve for x
    x = 95,085,272,881/145,373
  6. Step 6: Final answer
    x = 654,077.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.