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Finding the Third Proportional to 272,307.75 and 399,712.50

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Solution

The third proportional to 272,307.75 and 399,712.50 is: 586,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,307.75 : 399,712.50 = 399,712.50 : x
  2. Step 2: Convert to fraction form
    272,307.75/399,712.50 = 399,712.50/x
  3. Step 3: Cross multiply
    272,307.75x = 399,712.50 × 399,712.50
  4. Step 4: Simplify right side
    272,307.75x = 159,770,082,656.25
  5. Step 5: Solve for x
    x = 159,770,082,656.25/272,307.75
  6. Step 6: Final answer
    x = 586,726.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.