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Finding the Third Proportional to 310,296,865.50 and 462,754,468.13

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Solution

The third proportional to 310,296,865.50 and 462,754,468.13 is: 690,118,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296,865.50 : 462,754,468.13 = 462,754,468.13 : x
  2. Step 2: Convert to fraction form
    310,296,865.50/462,754,468.13 = 462,754,468.13/x
  3. Step 3: Cross multiply
    310,296,865.50x = 462,754,468.13 × 462,754,468.13
  4. Step 4: Simplify right side
    310,296,865.50x = 214,141,697,769,651,648
  5. Step 5: Solve for x
    x = 214,141,697,769,651,648/310,296,865.50
  6. Step 6: Final answer
    x = 690,118,791.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.