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Finding the Third Proportional to 761,911 and 1,120,107

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Solution

The third proportional to 761,911 and 1,120,107 is: 1,646,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,911 : 1,120,107 = 1,120,107 : x
  2. Step 2: Convert to fraction form
    761,911/1,120,107 = 1,120,107/x
  3. Step 3: Cross multiply
    761,911x = 1,120,107 × 1,120,107
  4. Step 4: Simplify right side
    761,911x = 1,254,639,691,449
  5. Step 5: Solve for x
    x = 1,254,639,691,449/761,911
  6. Step 6: Final answer
    x = 1,646,701.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.