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Finding the Third Proportional to 456,428 and 973,918

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Solution

The third proportional to 456,428 and 973,918 is: 2,078,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,428 : 973,918 = 973,918 : x
  2. Step 2: Convert to fraction form
    456,428/973,918 = 973,918/x
  3. Step 3: Cross multiply
    456,428x = 973,918 × 973,918
  4. Step 4: Simplify right side
    456,428x = 948,516,270,724
  5. Step 5: Solve for x
    x = 948,516,270,724/456,428
  6. Step 6: Final answer
    x = 2,078,129.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.