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Finding the Third Proportional to 811,374 and 1,272,763

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Solution

The third proportional to 811,374 and 1,272,763 is: 1,996,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,374 : 1,272,763 = 1,272,763 : x
  2. Step 2: Convert to fraction form
    811,374/1,272,763 = 1,272,763/x
  3. Step 3: Cross multiply
    811,374x = 1,272,763 × 1,272,763
  4. Step 4: Simplify right side
    811,374x = 1,619,925,654,169
  5. Step 5: Solve for x
    x = 1,619,925,654,169/811,374
  6. Step 6: Final answer
    x = 1,996,521.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.