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Finding the Third Proportional to 156,747 and 348,486

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Solution

The third proportional to 156,747 and 348,486 is: 774,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 348,486 = 348,486 : x
  2. Step 2: Convert to fraction form
    156,747/348,486 = 348,486/x
  3. Step 3: Cross multiply
    156,747x = 348,486 × 348,486
  4. Step 4: Simplify right side
    156,747x = 121,442,492,196
  5. Step 5: Solve for x
    x = 121,442,492,196/156,747
  6. Step 6: Final answer
    x = 774,767.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.