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Finding the Third Proportional to 432,136 and 573,429

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Solution

The third proportional to 432,136 and 573,429 is: 760,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,136 : 573,429 = 573,429 : x
  2. Step 2: Convert to fraction form
    432,136/573,429 = 573,429/x
  3. Step 3: Cross multiply
    432,136x = 573,429 × 573,429
  4. Step 4: Simplify right side
    432,136x = 328,820,818,041
  5. Step 5: Solve for x
    x = 328,820,818,041/432,136
  6. Step 6: Final answer
    x = 760,919.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.