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Finding the Third Proportional to 530,643 and 816,612

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Solution

The third proportional to 530,643 and 816,612 is: 1,256,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,643 : 816,612 = 816,612 : x
  2. Step 2: Convert to fraction form
    530,643/816,612 = 816,612/x
  3. Step 3: Cross multiply
    530,643x = 816,612 × 816,612
  4. Step 4: Simplify right side
    530,643x = 666,855,158,544
  5. Step 5: Solve for x
    x = 666,855,158,544/530,643
  6. Step 6: Final answer
    x = 1,256,692.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.