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Finding the Third Proportional to 908,612,220 and 1,976,421,638.25

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Solution

The third proportional to 908,612,220 and 1,976,421,638.25 is: 4,299,130,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,612,220 : 1,976,421,638.25 = 1,976,421,638.25 : x
  2. Step 2: Convert to fraction form
    908,612,220/1,976,421,638.25 = 1,976,421,638.25/x
  3. Step 3: Cross multiply
    908,612,220x = 1,976,421,638.25 × 1,976,421,638.25
  4. Step 4: Simplify right side
    908,612,220x = 3,906,242,492,142,813,696
  5. Step 5: Solve for x
    x = 3,906,242,492,142,813,696/908,612,220
  6. Step 6: Final answer
    x = 4,299,130,482.91

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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.