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Finding the Third Proportional to 155,306,421 and 345,088,657

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Solution

The third proportional to 155,306,421 and 345,088,657 is: 766,782,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,306,421 : 345,088,657 = 345,088,657 : x
  2. Step 2: Convert to fraction form
    155,306,421/345,088,657 = 345,088,657/x
  3. Step 3: Cross multiply
    155,306,421x = 345,088,657 × 345,088,657
  4. Step 4: Simplify right side
    155,306,421x = 119,086,181,190,063,648
  5. Step 5: Solve for x
    x = 119,086,181,190,063,648/155,306,421
  6. Step 6: Final answer
    x = 766,782,084.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.