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Finding the Third Proportional to 286,480 and 624,312

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Solution

The third proportional to 286,480 and 624,312 is: 1,360,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,480 : 624,312 = 624,312 : x
  2. Step 2: Convert to fraction form
    286,480/624,312 = 624,312/x
  3. Step 3: Cross multiply
    286,480x = 624,312 × 624,312
  4. Step 4: Simplify right side
    286,480x = 389,765,473,344
  5. Step 5: Solve for x
    x = 389,765,473,344/286,480
  6. Step 6: Final answer
    x = 1,360,532.93

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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.