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Finding the Third Proportional to 417,428 and 902,920

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Solution

The third proportional to 417,428 and 902,920 is: 1,953,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,428 : 902,920 = 902,920 : x
  2. Step 2: Convert to fraction form
    417,428/902,920 = 902,920/x
  3. Step 3: Cross multiply
    417,428x = 902,920 × 902,920
  4. Step 4: Simplify right side
    417,428x = 815,264,526,400
  5. Step 5: Solve for x
    x = 815,264,526,400/417,428
  6. Step 6: Final answer
    x = 1,953,066.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.