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Finding the Third Proportional to 651,645 and 910,359

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Solution

The third proportional to 651,645 and 910,359 is: 1,271,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,645 : 910,359 = 910,359 : x
  2. Step 2: Convert to fraction form
    651,645/910,359 = 910,359/x
  3. Step 3: Cross multiply
    651,645x = 910,359 × 910,359
  4. Step 4: Simplify right side
    651,645x = 828,753,508,881
  5. Step 5: Solve for x
    x = 828,753,508,881/651,645
  6. Step 6: Final answer
    x = 1,271,786.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.