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Finding the Third Proportional to 473,220 and 734,136

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Solution

The third proportional to 473,220 and 734,136 is: 1,138,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,220 : 734,136 = 734,136 : x
  2. Step 2: Convert to fraction form
    473,220/734,136 = 734,136/x
  3. Step 3: Cross multiply
    473,220x = 734,136 × 734,136
  4. Step 4: Simplify right side
    473,220x = 538,955,666,496
  5. Step 5: Solve for x
    x = 538,955,666,496/473,220
  6. Step 6: Final answer
    x = 1,138,911.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.