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Finding the Third Proportional to 370,909.13 and 787,342.78

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Solution

The third proportional to 370,909.13 and 787,342.78 is: 1,671,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,909.13 : 787,342.78 = 787,342.78 : x
  2. Step 2: Convert to fraction form
    370,909.13/787,342.78 = 787,342.78/x
  3. Step 3: Cross multiply
    370,909.13x = 787,342.78 × 787,342.78
  4. Step 4: Simplify right side
    370,909.13x = 619,908,655,186.49
  5. Step 5: Solve for x
    x = 619,908,655,186.49/370,909.13
  6. Step 6: Final answer
    x = 1,671,322.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.