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Finding the Third Proportional to 656,140 and 1,364,671

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Solution

The third proportional to 656,140 and 1,364,671 is: 2,838,307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,140 : 1,364,671 = 1,364,671 : x
  2. Step 2: Convert to fraction form
    656,140/1,364,671 = 1,364,671/x
  3. Step 3: Cross multiply
    656,140x = 1,364,671 × 1,364,671
  4. Step 4: Simplify right side
    656,140x = 1,862,326,938,241
  5. Step 5: Solve for x
    x = 1,862,326,938,241/656,140
  6. Step 6: Final answer
    x = 2,838,307.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.