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Finding the Third Proportional to 418,556 and 915,352

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Solution

The third proportional to 418,556 and 915,352 is: 2,001,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,556 : 915,352 = 915,352 : x
  2. Step 2: Convert to fraction form
    418,556/915,352 = 915,352/x
  3. Step 3: Cross multiply
    418,556x = 915,352 × 915,352
  4. Step 4: Simplify right side
    418,556x = 837,869,283,904
  5. Step 5: Solve for x
    x = 837,869,283,904/418,556
  6. Step 6: Final answer
    x = 2,001,809.28

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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.