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Finding the Third Proportional to 138,539,178 and 301,191,840

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Solution

The third proportional to 138,539,178 and 301,191,840 is: 654,807,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,539,178 : 301,191,840 = 301,191,840 : x
  2. Step 2: Convert to fraction form
    138,539,178/301,191,840 = 301,191,840/x
  3. Step 3: Cross multiply
    138,539,178x = 301,191,840 × 301,191,840
  4. Step 4: Simplify right side
    138,539,178x = 90,716,524,482,585,600
  5. Step 5: Solve for x
    x = 90,716,524,482,585,600/138,539,178
  6. Step 6: Final answer
    x = 654,807,728.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.