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Finding the Third Proportional to 272,904 and 390,786

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Solution

The third proportional to 272,904 and 390,786 is: 559,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,904 : 390,786 = 390,786 : x
  2. Step 2: Convert to fraction form
    272,904/390,786 = 390,786/x
  3. Step 3: Cross multiply
    272,904x = 390,786 × 390,786
  4. Step 4: Simplify right side
    272,904x = 152,713,697,796
  5. Step 5: Solve for x
    x = 152,713,697,796/272,904
  6. Step 6: Final answer
    x = 559,587.61

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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.