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Finding the Third Proportional to 415,184 and 907,918

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Solution

The third proportional to 415,184 and 907,918 is: 1,985,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,184 : 907,918 = 907,918 : x
  2. Step 2: Convert to fraction form
    415,184/907,918 = 907,918/x
  3. Step 3: Cross multiply
    415,184x = 907,918 × 907,918
  4. Step 4: Simplify right side
    415,184x = 824,315,094,724
  5. Step 5: Solve for x
    x = 824,315,094,724/415,184
  6. Step 6: Final answer
    x = 1,985,421.15

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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.