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Finding the Third Proportional to 803,127 and 1,070,716.50

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Solution

The third proportional to 803,127 and 1,070,716.50 is: 1,427,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,127 : 1,070,716.50 = 1,070,716.50 : x
  2. Step 2: Convert to fraction form
    803,127/1,070,716.50 = 1,070,716.50/x
  3. Step 3: Cross multiply
    803,127x = 1,070,716.50 × 1,070,716.50
  4. Step 4: Simplify right side
    803,127x = 1,146,433,823,372.25
  5. Step 5: Solve for x
    x = 1,146,433,823,372.25/803,127
  6. Step 6: Final answer
    x = 1,427,462.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.