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Finding the Third Proportional to 828,664 and 1,293,363

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Solution

The third proportional to 828,664 and 1,293,363 is: 2,018,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,664 : 1,293,363 = 1,293,363 : x
  2. Step 2: Convert to fraction form
    828,664/1,293,363 = 1,293,363/x
  3. Step 3: Cross multiply
    828,664x = 1,293,363 × 1,293,363
  4. Step 4: Simplify right side
    828,664x = 1,672,787,849,769
  5. Step 5: Solve for x
    x = 1,672,787,849,769/828,664
  6. Step 6: Final answer
    x = 2,018,656.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.