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Finding the Third Proportional to 109,388 and 237,712

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Solution

The third proportional to 109,388 and 237,712 is: 516,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,388 : 237,712 = 237,712 : x
  2. Step 2: Convert to fraction form
    109,388/237,712 = 237,712/x
  3. Step 3: Cross multiply
    109,388x = 237,712 × 237,712
  4. Step 4: Simplify right side
    109,388x = 56,506,994,944
  5. Step 5: Solve for x
    x = 56,506,994,944/109,388
  6. Step 6: Final answer
    x = 516,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.