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Finding the Third Proportional to 272,889 and 390,764

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Solution

The third proportional to 272,889 and 390,764 is: 559,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,889 : 390,764 = 390,764 : x
  2. Step 2: Convert to fraction form
    272,889/390,764 = 390,764/x
  3. Step 3: Cross multiply
    272,889x = 390,764 × 390,764
  4. Step 4: Simplify right side
    272,889x = 152,696,503,696
  5. Step 5: Solve for x
    x = 152,696,503,696/272,889
  6. Step 6: Final answer
    x = 559,555.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.