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Finding the Third Proportional to 306,681.50 and 470,729.25

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Solution

The third proportional to 306,681.50 and 470,729.25 is: 722,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,681.50 : 470,729.25 = 470,729.25 : x
  2. Step 2: Convert to fraction form
    306,681.50/470,729.25 = 470,729.25/x
  3. Step 3: Cross multiply
    306,681.50x = 470,729.25 × 470,729.25
  4. Step 4: Simplify right side
    306,681.50x = 221,586,026,805.56
  5. Step 5: Solve for x
    x = 221,586,026,805.56/306,681.50
  6. Step 6: Final answer
    x = 722,528.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.