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Finding the Third Proportional to 610,768 and 1,302,704

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Solution

The third proportional to 610,768 and 1,302,704 is: 2,778,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,768 : 1,302,704 = 1,302,704 : x
  2. Step 2: Convert to fraction form
    610,768/1,302,704 = 1,302,704/x
  3. Step 3: Cross multiply
    610,768x = 1,302,704 × 1,302,704
  4. Step 4: Simplify right side
    610,768x = 1,697,037,711,616
  5. Step 5: Solve for x
    x = 1,697,037,711,616/610,768
  6. Step 6: Final answer
    x = 2,778,530.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.