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Finding the Third Proportional to 418,465 and 907,778

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Solution

The third proportional to 418,465 and 907,778 is: 1,969,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,465 : 907,778 = 907,778 : x
  2. Step 2: Convert to fraction form
    418,465/907,778 = 907,778/x
  3. Step 3: Cross multiply
    418,465x = 907,778 × 907,778
  4. Step 4: Simplify right side
    418,465x = 824,060,897,284
  5. Step 5: Solve for x
    x = 824,060,897,284/418,465
  6. Step 6: Final answer
    x = 1,969,246.88

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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.