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Finding the Third Proportional to 200,490 and 432,321

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Solution

The third proportional to 200,490 and 432,321 is: 932,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490 : 432,321 = 432,321 : x
  2. Step 2: Convert to fraction form
    200,490/432,321 = 432,321/x
  3. Step 3: Cross multiply
    200,490x = 432,321 × 432,321
  4. Step 4: Simplify right side
    200,490x = 186,901,447,041
  5. Step 5: Solve for x
    x = 186,901,447,041/200,490
  6. Step 6: Final answer
    x = 932,223.29

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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.