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Finding the Third Proportional to 585,428 and 882,753

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Solution

The third proportional to 585,428 and 882,753 is: 1,331,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,428 : 882,753 = 882,753 : x
  2. Step 2: Convert to fraction form
    585,428/882,753 = 882,753/x
  3. Step 3: Cross multiply
    585,428x = 882,753 × 882,753
  4. Step 4: Simplify right side
    585,428x = 779,252,859,009
  5. Step 5: Solve for x
    x = 779,252,859,009/585,428
  6. Step 6: Final answer
    x = 1,331,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.