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Finding the Third Proportional to 272,901.75 and 390,783

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Solution

The third proportional to 272,901.75 and 390,783 is: 559,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,901.75 : 390,783 = 390,783 : x
  2. Step 2: Convert to fraction form
    272,901.75/390,783 = 390,783/x
  3. Step 3: Cross multiply
    272,901.75x = 390,783 × 390,783
  4. Step 4: Simplify right side
    272,901.75x = 152,711,353,089
  5. Step 5: Solve for x
    x = 152,711,353,089/272,901.75
  6. Step 6: Final answer
    x = 559,583.63

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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.