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Finding the Third Proportional to 154,406,464 and 235,232,192

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Solution

The third proportional to 154,406,464 and 235,232,192 is: 358,367,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,406,464 : 235,232,192 = 235,232,192 : x
  2. Step 2: Convert to fraction form
    154,406,464/235,232,192 = 235,232,192/x
  3. Step 3: Cross multiply
    154,406,464x = 235,232,192 × 235,232,192
  4. Step 4: Simplify right side
    154,406,464x = 55,334,184,153,124,864
  5. Step 5: Solve for x
    x = 55,334,184,153,124,864/154,406,464
  6. Step 6: Final answer
    x = 358,367,018.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.