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Finding the Third Proportional to 360,643 and 561,377

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Solution

The third proportional to 360,643 and 561,377 is: 873,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,643 : 561,377 = 561,377 : x
  2. Step 2: Convert to fraction form
    360,643/561,377 = 561,377/x
  3. Step 3: Cross multiply
    360,643x = 561,377 × 561,377
  4. Step 4: Simplify right side
    360,643x = 315,144,136,129
  5. Step 5: Solve for x
    x = 315,144,136,129/360,643
  6. Step 6: Final answer
    x = 873,839.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.