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Finding the Third Proportional to 319,421,448 and 477,003,276

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Solution

The third proportional to 319,421,448 and 477,003,276 is: 712,325,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,421,448 : 477,003,276 = 477,003,276 : x
  2. Step 2: Convert to fraction form
    319,421,448/477,003,276 = 477,003,276/x
  3. Step 3: Cross multiply
    319,421,448x = 477,003,276 × 477,003,276
  4. Step 4: Simplify right side
    319,421,448x = 227,532,125,314,732,160
  5. Step 5: Solve for x
    x = 227,532,125,314,732,160/319,421,448
  6. Step 6: Final answer
    x = 712,325,758.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.