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Finding the Third Proportional to 630,428 and 1,349,422

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Solution

The third proportional to 630,428 and 1,349,422 is: 2,888,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,428 : 1,349,422 = 1,349,422 : x
  2. Step 2: Convert to fraction form
    630,428/1,349,422 = 1,349,422/x
  3. Step 3: Cross multiply
    630,428x = 1,349,422 × 1,349,422
  4. Step 4: Simplify right side
    630,428x = 1,820,939,734,084
  5. Step 5: Solve for x
    x = 1,820,939,734,084/630,428
  6. Step 6: Final answer
    x = 2,888,418.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.