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Finding the Third Proportional to 642,564 and 1,357,464

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Solution

The third proportional to 642,564 and 1,357,464 is: 2,867,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,564 : 1,357,464 = 1,357,464 : x
  2. Step 2: Convert to fraction form
    642,564/1,357,464 = 1,357,464/x
  3. Step 3: Cross multiply
    642,564x = 1,357,464 × 1,357,464
  4. Step 4: Simplify right side
    642,564x = 1,842,708,511,296
  5. Step 5: Solve for x
    x = 1,842,708,511,296/642,564
  6. Step 6: Final answer
    x = 2,867,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.