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Finding the Third Proportional to 308,043 and 473,283

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Solution

The third proportional to 308,043 and 473,283 is: 727,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,043 : 473,283 = 473,283 : x
  2. Step 2: Convert to fraction form
    308,043/473,283 = 473,283/x
  3. Step 3: Cross multiply
    308,043x = 473,283 × 473,283
  4. Step 4: Simplify right side
    308,043x = 223,996,798,089
  5. Step 5: Solve for x
    x = 223,996,798,089/308,043
  6. Step 6: Final answer
    x = 727,160.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.