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Finding the Third Proportional to 153,603 and 314,859

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Solution

The third proportional to 153,603 and 314,859 is: 645,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,603 : 314,859 = 314,859 : x
  2. Step 2: Convert to fraction form
    153,603/314,859 = 314,859/x
  3. Step 3: Cross multiply
    153,603x = 314,859 × 314,859
  4. Step 4: Simplify right side
    153,603x = 99,136,189,881
  5. Step 5: Solve for x
    x = 99,136,189,881/153,603
  6. Step 6: Final answer
    x = 645,405.30

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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.