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Finding the Third Proportional to 501,282,783 and 766,333,345.50

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Solution

The third proportional to 501,282,783 and 766,333,345.50 is: 1,171,527,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,282,783 : 766,333,345.50 = 766,333,345.50 : x
  2. Step 2: Convert to fraction form
    501,282,783/766,333,345.50 = 766,333,345.50/x
  3. Step 3: Cross multiply
    501,282,783x = 766,333,345.50 × 766,333,345.50
  4. Step 4: Simplify right side
    501,282,783x = 587,266,796,425,222,400
  5. Step 5: Solve for x
    x = 587,266,796,425,222,400/501,282,783
  6. Step 6: Final answer
    x = 1,171,527,960.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.