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Finding the Third Proportional to 357,569 and 783,421

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Solution

The third proportional to 357,569 and 783,421 is: 1,716,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,569 : 783,421 = 783,421 : x
  2. Step 2: Convert to fraction form
    357,569/783,421 = 783,421/x
  3. Step 3: Cross multiply
    357,569x = 783,421 × 783,421
  4. Step 4: Simplify right side
    357,569x = 613,748,463,241
  5. Step 5: Solve for x
    x = 613,748,463,241/357,569
  6. Step 6: Final answer
    x = 1,716,447.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.