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Finding the Third Proportional to 140,250,587,448 and 300,360,065,916

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Solution

The third proportional to 140,250,587,448 and 300,360,065,916 is: 643,249,848,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,250,587,448 : 300,360,065,916 = 300,360,065,916 : x
  2. Step 2: Convert to fraction form
    140,250,587,448/300,360,065,916 = 300,360,065,916/x
  3. Step 3: Cross multiply
    140,250,587,448x = 300,360,065,916 × 300,360,065,916
  4. Step 4: Simplify right side
    140,250,587,448x = 90,216,169,197,063,859,339,264
  5. Step 5: Solve for x
    x = 90,216,169,197,063,859,339,264/140,250,587,448
  6. Step 6: Final answer
    x = 643,249,848,992.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.