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Finding the Third Proportional to 255,328,258 and 404,368,152

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Solution

The third proportional to 255,328,258 and 404,368,152 is: 640,405,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,328,258 : 404,368,152 = 404,368,152 : x
  2. Step 2: Convert to fraction form
    255,328,258/404,368,152 = 404,368,152/x
  3. Step 3: Cross multiply
    255,328,258x = 404,368,152 × 404,368,152
  4. Step 4: Simplify right side
    255,328,258x = 163,513,602,351,895,104
  5. Step 5: Solve for x
    x = 163,513,602,351,895,104/255,328,258
  6. Step 6: Final answer
    x = 640,405,428.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.