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Finding the Third Proportional to 255,450,604.50 and 559,262,310

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Solution

The third proportional to 255,450,604.50 and 559,262,310 is: 1,224,402,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,450,604.50 : 559,262,310 = 559,262,310 : x
  2. Step 2: Convert to fraction form
    255,450,604.50/559,262,310 = 559,262,310/x
  3. Step 3: Cross multiply
    255,450,604.50x = 559,262,310 × 559,262,310
  4. Step 4: Simplify right side
    255,450,604.50x = 312,774,331,386,536,128
  5. Step 5: Solve for x
    x = 312,774,331,386,536,128/255,450,604.50
  6. Step 6: Final answer
    x = 1,224,402,392.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.