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Finding the Third Proportional to 404,835 and 865,731

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Solution

The third proportional to 404,835 and 865,731 is: 1,851,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,835 : 865,731 = 865,731 : x
  2. Step 2: Convert to fraction form
    404,835/865,731 = 865,731/x
  3. Step 3: Cross multiply
    404,835x = 865,731 × 865,731
  4. Step 4: Simplify right side
    404,835x = 749,490,164,361
  5. Step 5: Solve for x
    x = 749,490,164,361/404,835
  6. Step 6: Final answer
    x = 1,851,347.25

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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.