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Finding the Third Proportional to 286,276 and 623,312

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Solution

The third proportional to 286,276 and 623,312 is: 1,357,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,276 : 623,312 = 623,312 : x
  2. Step 2: Convert to fraction form
    286,276/623,312 = 623,312/x
  3. Step 3: Cross multiply
    286,276x = 623,312 × 623,312
  4. Step 4: Simplify right side
    286,276x = 388,517,849,344
  5. Step 5: Solve for x
    x = 388,517,849,344/286,276
  6. Step 6: Final answer
    x = 1,357,144.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.