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Finding the Third Proportional to 132,625,502,556 and 288,488,365,381

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Solution

The third proportional to 132,625,502,556 and 288,488,365,381 is: 627,522,877,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,625,502,556 : 288,488,365,381 = 288,488,365,381 : x
  2. Step 2: Convert to fraction form
    132,625,502,556/288,488,365,381 = 288,488,365,381/x
  3. Step 3: Cross multiply
    132,625,502,556x = 288,488,365,381 × 288,488,365,381
  4. Step 4: Simplify right side
    132,625,502,556x = 83,225,536,960,201,354,117,120
  5. Step 5: Solve for x
    x = 83,225,536,960,201,354,117,120/132,625,502,556
  6. Step 6: Final answer
    x = 627,522,877,246.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.