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Finding the Third Proportional to 156,742 and 282,364

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Solution

The third proportional to 156,742 and 282,364 is: 508,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 282,364 = 282,364 : x
  2. Step 2: Convert to fraction form
    156,742/282,364 = 282,364/x
  3. Step 3: Cross multiply
    156,742x = 282,364 × 282,364
  4. Step 4: Simplify right side
    156,742x = 79,729,428,496
  5. Step 5: Solve for x
    x = 79,729,428,496/156,742
  6. Step 6: Final answer
    x = 508,666.65

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.