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Finding the Third Proportional to 128,326,056 and 277,106,578

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Solution

The third proportional to 128,326,056 and 277,106,578 is: 598,382,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,326,056 : 277,106,578 = 277,106,578 : x
  2. Step 2: Convert to fraction form
    128,326,056/277,106,578 = 277,106,578/x
  3. Step 3: Cross multiply
    128,326,056x = 277,106,578 × 277,106,578
  4. Step 4: Simplify right side
    128,326,056x = 76,788,055,570,870,080
  5. Step 5: Solve for x
    x = 76,788,055,570,870,080/128,326,056
  6. Step 6: Final answer
    x = 598,382,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.