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Finding the Third Proportional to 646,273 and 986,905.50

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Solution

The third proportional to 646,273 and 986,905.50 is: 1,507,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,273 : 986,905.50 = 986,905.50 : x
  2. Step 2: Convert to fraction form
    646,273/986,905.50 = 986,905.50/x
  3. Step 3: Cross multiply
    646,273x = 986,905.50 × 986,905.50
  4. Step 4: Simplify right side
    646,273x = 973,982,465,930.25
  5. Step 5: Solve for x
    x = 973,982,465,930.25/646,273
  6. Step 6: Final answer
    x = 1,507,075.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.