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Finding the Third Proportional to 130,946,336 and 182,070,416

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Solution

The third proportional to 130,946,336 and 182,070,416 is: 253,154,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,946,336 : 182,070,416 = 182,070,416 : x
  2. Step 2: Convert to fraction form
    130,946,336/182,070,416 = 182,070,416/x
  3. Step 3: Cross multiply
    130,946,336x = 182,070,416 × 182,070,416
  4. Step 4: Simplify right side
    130,946,336x = 33,149,636,382,413,056
  5. Step 5: Solve for x
    x = 33,149,636,382,413,056/130,946,336
  6. Step 6: Final answer
    x = 253,154,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.