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Finding the Third Proportional to 404,372 and 865,547

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Solution

The third proportional to 404,372 and 865,547 is: 1,852,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,372 : 865,547 = 865,547 : x
  2. Step 2: Convert to fraction form
    404,372/865,547 = 865,547/x
  3. Step 3: Cross multiply
    404,372x = 865,547 × 865,547
  4. Step 4: Simplify right side
    404,372x = 749,171,609,209
  5. Step 5: Solve for x
    x = 749,171,609,209/404,372
  6. Step 6: Final answer
    x = 1,852,679.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.