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Finding the Third Proportional to 501,280,904 and 766,329,312

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Solution

The third proportional to 501,280,904 and 766,329,312 is: 1,171,520,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,280,904 : 766,329,312 = 766,329,312 : x
  2. Step 2: Convert to fraction form
    501,280,904/766,329,312 = 766,329,312/x
  3. Step 3: Cross multiply
    501,280,904x = 766,329,312 × 766,329,312
  4. Step 4: Simplify right side
    501,280,904x = 587,260,614,430,393,344
  5. Step 5: Solve for x
    x = 587,260,614,430,393,344/501,280,904
  6. Step 6: Final answer
    x = 1,171,520,019.50

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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.