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Finding the Third Proportional to 643,537 and 846,253.50

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Solution

The third proportional to 643,537 and 846,253.50 is: 1,112,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,537 : 846,253.50 = 846,253.50 : x
  2. Step 2: Convert to fraction form
    643,537/846,253.50 = 846,253.50/x
  3. Step 3: Cross multiply
    643,537x = 846,253.50 × 846,253.50
  4. Step 4: Simplify right side
    643,537x = 716,144,986,262.25
  5. Step 5: Solve for x
    x = 716,144,986,262.25/643,537
  6. Step 6: Final answer
    x = 1,112,826.44

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.