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Finding the Third Proportional to 402,358 and 873,918

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Solution

The third proportional to 402,358 and 873,918 is: 1,898,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,358 : 873,918 = 873,918 : x
  2. Step 2: Convert to fraction form
    402,358/873,918 = 873,918/x
  3. Step 3: Cross multiply
    402,358x = 873,918 × 873,918
  4. Step 4: Simplify right side
    402,358x = 763,732,670,724
  5. Step 5: Solve for x
    x = 763,732,670,724/402,358
  6. Step 6: Final answer
    x = 1,898,142.13

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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.