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Finding the Third Proportional to 628,822 and 1,357,700

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Solution

The third proportional to 628,822 and 1,357,700 is: 2,931,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,822 : 1,357,700 = 1,357,700 : x
  2. Step 2: Convert to fraction form
    628,822/1,357,700 = 1,357,700/x
  3. Step 3: Cross multiply
    628,822x = 1,357,700 × 1,357,700
  4. Step 4: Simplify right side
    628,822x = 1,843,349,290,000
  5. Step 5: Solve for x
    x = 1,843,349,290,000/628,822
  6. Step 6: Final answer
    x = 2,931,432.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.