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Finding the Third Proportional to 780,312 and 1,677,024

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Solution

The third proportional to 780,312 and 1,677,024 is: 3,604,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,312 : 1,677,024 = 1,677,024 : x
  2. Step 2: Convert to fraction form
    780,312/1,677,024 = 1,677,024/x
  3. Step 3: Cross multiply
    780,312x = 1,677,024 × 1,677,024
  4. Step 4: Simplify right side
    780,312x = 2,812,409,496,576
  5. Step 5: Solve for x
    x = 2,812,409,496,576/780,312
  6. Step 6: Final answer
    x = 3,604,211.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.