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Finding the Third Proportional to 590,921 and 865,417

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Solution

The third proportional to 590,921 and 865,417 is: 1,267,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,921 : 865,417 = 865,417 : x
  2. Step 2: Convert to fraction form
    590,921/865,417 = 865,417/x
  3. Step 3: Cross multiply
    590,921x = 865,417 × 865,417
  4. Step 4: Simplify right side
    590,921x = 748,946,583,889
  5. Step 5: Solve for x
    x = 748,946,583,889/590,921
  6. Step 6: Final answer
    x = 1,267,422.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.