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Finding the Third Proportional to 623,902 and 1,277,315

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Solution

The third proportional to 623,902 and 1,277,315 is: 2,615,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,902 : 1,277,315 = 1,277,315 : x
  2. Step 2: Convert to fraction form
    623,902/1,277,315 = 1,277,315/x
  3. Step 3: Cross multiply
    623,902x = 1,277,315 × 1,277,315
  4. Step 4: Simplify right side
    623,902x = 1,631,533,609,225
  5. Step 5: Solve for x
    x = 1,631,533,609,225/623,902
  6. Step 6: Final answer
    x = 2,615,047.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.