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Finding the Third Proportional to 390,272 and 811,160

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Solution

The third proportional to 390,272 and 811,160 is: 1,685,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,272 : 811,160 = 811,160 : x
  2. Step 2: Convert to fraction form
    390,272/811,160 = 811,160/x
  3. Step 3: Cross multiply
    390,272x = 811,160 × 811,160
  4. Step 4: Simplify right side
    390,272x = 657,980,545,600
  5. Step 5: Solve for x
    x = 657,980,545,600/390,272
  6. Step 6: Final answer
    x = 1,685,953.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.