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Finding the Third Proportional to 59,715,063,203 and 128,292,136,498

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Solution

The third proportional to 59,715,063,203 and 128,292,136,498 is: 275,623,459,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,715,063,203 : 128,292,136,498 = 128,292,136,498 : x
  2. Step 2: Convert to fraction form
    59,715,063,203/128,292,136,498 = 128,292,136,498/x
  3. Step 3: Cross multiply
    59,715,063,203x = 128,292,136,498 × 128,292,136,498
  4. Step 4: Simplify right side
    59,715,063,203x = 16,458,872,287,221,463,908,352
  5. Step 5: Solve for x
    x = 16,458,872,287,221,463,908,352/59,715,063,203
  6. Step 6: Final answer
    x = 275,623,459,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.