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Finding the Third Proportional to 497,990 and 761,565

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Solution

The third proportional to 497,990 and 761,565 is: 1,164,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,990 : 761,565 = 761,565 : x
  2. Step 2: Convert to fraction form
    497,990/761,565 = 761,565/x
  3. Step 3: Cross multiply
    497,990x = 761,565 × 761,565
  4. Step 4: Simplify right side
    497,990x = 579,981,249,225
  5. Step 5: Solve for x
    x = 579,981,249,225/497,990
  6. Step 6: Final answer
    x = 1,164,644.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.