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Finding the Third Proportional to 163,020 and 345,666

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Solution

The third proportional to 163,020 and 345,666 is: 732,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,020 : 345,666 = 345,666 : x
  2. Step 2: Convert to fraction form
    163,020/345,666 = 345,666/x
  3. Step 3: Cross multiply
    163,020x = 345,666 × 345,666
  4. Step 4: Simplify right side
    163,020x = 119,484,983,556
  5. Step 5: Solve for x
    x = 119,484,983,556/163,020
  6. Step 6: Final answer
    x = 732,946.78

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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.