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Finding the Third Proportional to 611,583 and 1,381,717.50

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Solution

The third proportional to 611,583 and 1,381,717.50 is: 3,121,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,583 : 1,381,717.50 = 1,381,717.50 : x
  2. Step 2: Convert to fraction form
    611,583/1,381,717.50 = 1,381,717.50/x
  3. Step 3: Cross multiply
    611,583x = 1,381,717.50 × 1,381,717.50
  4. Step 4: Simplify right side
    611,583x = 1,909,143,249,806.25
  5. Step 5: Solve for x
    x = 1,909,143,249,806.25/611,583
  6. Step 6: Final answer
    x = 3,121,642.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.