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Finding the Third Proportional to 153,567 and 314,721

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Solution

The third proportional to 153,567 and 314,721 is: 644,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,567 : 314,721 = 314,721 : x
  2. Step 2: Convert to fraction form
    153,567/314,721 = 314,721/x
  3. Step 3: Cross multiply
    153,567x = 314,721 × 314,721
  4. Step 4: Simplify right side
    153,567x = 99,049,307,841
  5. Step 5: Solve for x
    x = 99,049,307,841/153,567
  6. Step 6: Final answer
    x = 644,990.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.