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Finding the Third Proportional to 646,388 and 869,526

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Solution

The third proportional to 646,388 and 869,526 is: 1,169,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,388 : 869,526 = 869,526 : x
  2. Step 2: Convert to fraction form
    646,388/869,526 = 869,526/x
  3. Step 3: Cross multiply
    646,388x = 869,526 × 869,526
  4. Step 4: Simplify right side
    646,388x = 756,075,464,676
  5. Step 5: Solve for x
    x = 756,075,464,676/646,388
  6. Step 6: Final answer
    x = 1,169,692.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.