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Finding the Third Proportional to 119,367,455,784 and 258,875,233,032

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Solution

The third proportional to 119,367,455,784 and 258,875,233,032 is: 561,429,292,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367,455,784 : 258,875,233,032 = 258,875,233,032 : x
  2. Step 2: Convert to fraction form
    119,367,455,784/258,875,233,032 = 258,875,233,032/x
  3. Step 3: Cross multiply
    119,367,455,784x = 258,875,233,032 × 258,875,233,032
  4. Step 4: Simplify right side
    119,367,455,784x = 67,016,386,277,372,302,721,024
  5. Step 5: Solve for x
    x = 67,016,386,277,372,302,721,024/119,367,455,784
  6. Step 6: Final answer
    x = 561,429,292,743.25

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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.