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Finding the Third Proportional to 304,462.13 and 688,623.19

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Solution

The third proportional to 304,462.13 and 688,623.19 is: 1,557,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,462.13 : 688,623.19 = 688,623.19 : x
  2. Step 2: Convert to fraction form
    304,462.13/688,623.19 = 688,623.19/x
  3. Step 3: Cross multiply
    304,462.13x = 688,623.19 × 688,623.19
  4. Step 4: Simplify right side
    304,462.13x = 474,201,894,362.66
  5. Step 5: Solve for x
    x = 474,201,894,362.66/304,462.13
  6. Step 6: Final answer
    x = 1,557,507.01

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.