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Finding the Third Proportional to 200,556 and 432,459

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Solution

The third proportional to 200,556 and 432,459 is: 932,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,556 : 432,459 = 432,459 : x
  2. Step 2: Convert to fraction form
    200,556/432,459 = 432,459/x
  3. Step 3: Cross multiply
    200,556x = 432,459 × 432,459
  4. Step 4: Simplify right side
    200,556x = 187,020,786,681
  5. Step 5: Solve for x
    x = 187,020,786,681/200,556
  6. Step 6: Final answer
    x = 932,511.55

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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.