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Finding the Third Proportional to 296,929.13 and 647,443.13

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Solution

The third proportional to 296,929.13 and 647,443.13 is: 1,411,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,929.13 : 647,443.13 = 647,443.13 : x
  2. Step 2: Convert to fraction form
    296,929.13/647,443.13 = 647,443.13/x
  3. Step 3: Cross multiply
    296,929.13x = 647,443.13 × 647,443.13
  4. Step 4: Simplify right side
    296,929.13x = 419,182,600,109.77
  5. Step 5: Solve for x
    x = 419,182,600,109.77/296,929.13
  6. Step 6: Final answer
    x = 1,411,726.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.