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Finding the Third Proportional to 286,854 and 623,460

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Solution

The third proportional to 286,854 and 623,460 is: 1,355,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,854 : 623,460 = 623,460 : x
  2. Step 2: Convert to fraction form
    286,854/623,460 = 623,460/x
  3. Step 3: Cross multiply
    286,854x = 623,460 × 623,460
  4. Step 4: Simplify right side
    286,854x = 388,702,371,600
  5. Step 5: Solve for x
    x = 388,702,371,600/286,854
  6. Step 6: Final answer
    x = 1,355,052.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.