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Finding the Third Proportional to 623,720 and 1,312,642

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Solution

The third proportional to 623,720 and 1,312,642 is: 2,762,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,720 : 1,312,642 = 1,312,642 : x
  2. Step 2: Convert to fraction form
    623,720/1,312,642 = 1,312,642/x
  3. Step 3: Cross multiply
    623,720x = 1,312,642 × 1,312,642
  4. Step 4: Simplify right side
    623,720x = 1,723,029,020,164
  5. Step 5: Solve for x
    x = 1,723,029,020,164/623,720
  6. Step 6: Final answer
    x = 2,762,504.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.