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Finding the Third Proportional to 153,622.13 and 314,623.69

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Solution

The third proportional to 153,622.13 and 314,623.69 is: 644,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622.13 : 314,623.69 = 314,623.69 : x
  2. Step 2: Convert to fraction form
    153,622.13/314,623.69 = 314,623.69/x
  3. Step 3: Cross multiply
    153,622.13x = 314,623.69 × 314,623.69
  4. Step 4: Simplify right side
    153,622.13x = 98,988,064,736.10
  5. Step 5: Solve for x
    x = 98,988,064,736.10/153,622.13
  6. Step 6: Final answer
    x = 644,360.73

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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.