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Finding the Third Proportional to 355,372 and 767,646

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Solution

The third proportional to 355,372 and 767,646 is: 1,658,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,372 : 767,646 = 767,646 : x
  2. Step 2: Convert to fraction form
    355,372/767,646 = 767,646/x
  3. Step 3: Cross multiply
    355,372x = 767,646 × 767,646
  4. Step 4: Simplify right side
    355,372x = 589,280,381,316
  5. Step 5: Solve for x
    x = 589,280,381,316/355,372
  6. Step 6: Final answer
    x = 1,658,207.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.