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Finding the Third Proportional to 240,730 and 521,636

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Solution

The third proportional to 240,730 and 521,636 is: 1,130,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,730 : 521,636 = 521,636 : x
  2. Step 2: Convert to fraction form
    240,730/521,636 = 521,636/x
  3. Step 3: Cross multiply
    240,730x = 521,636 × 521,636
  4. Step 4: Simplify right side
    240,730x = 272,104,116,496
  5. Step 5: Solve for x
    x = 272,104,116,496/240,730
  6. Step 6: Final answer
    x = 1,130,329.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.