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Finding the Third Proportional to 921,946 and 1,242,842

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Solution

The third proportional to 921,946 and 1,242,842 is: 1,675,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,946 : 1,242,842 = 1,242,842 : x
  2. Step 2: Convert to fraction form
    921,946/1,242,842 = 1,242,842/x
  3. Step 3: Cross multiply
    921,946x = 1,242,842 × 1,242,842
  4. Step 4: Simplify right side
    921,946x = 1,544,656,236,964
  5. Step 5: Solve for x
    x = 1,544,656,236,964/921,946
  6. Step 6: Final answer
    x = 1,675,430.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.