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Finding the Third Proportional to 642,076 and 953,868

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Solution

The third proportional to 642,076 and 953,868 is: 1,417,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,076 : 953,868 = 953,868 : x
  2. Step 2: Convert to fraction form
    642,076/953,868 = 953,868/x
  3. Step 3: Cross multiply
    642,076x = 953,868 × 953,868
  4. Step 4: Simplify right side
    642,076x = 909,864,161,424
  5. Step 5: Solve for x
    x = 909,864,161,424/642,076
  6. Step 6: Final answer
    x = 1,417,066.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.