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Finding the Third Proportional to 293,490 and 643,239

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Solution

The third proportional to 293,490 and 643,239 is: 1,409,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,490 : 643,239 = 643,239 : x
  2. Step 2: Convert to fraction form
    293,490/643,239 = 643,239/x
  3. Step 3: Cross multiply
    293,490x = 643,239 × 643,239
  4. Step 4: Simplify right side
    293,490x = 413,756,411,121
  5. Step 5: Solve for x
    x = 413,756,411,121/293,490
  6. Step 6: Final answer
    x = 1,409,780.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.