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Finding the Third Proportional to 780,160 and 1,165,136

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Solution

The third proportional to 780,160 and 1,165,136 is: 1,740,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,160 : 1,165,136 = 1,165,136 : x
  2. Step 2: Convert to fraction form
    780,160/1,165,136 = 1,165,136/x
  3. Step 3: Cross multiply
    780,160x = 1,165,136 × 1,165,136
  4. Step 4: Simplify right side
    780,160x = 1,357,541,898,496
  5. Step 5: Solve for x
    x = 1,357,541,898,496/780,160
  6. Step 6: Final answer
    x = 1,740,081.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.