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Finding the Third Proportional to 390,275,352 and 770,680,364

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Solution

The third proportional to 390,275,352 and 770,680,364 is: 1,521,869,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,275,352 : 770,680,364 = 770,680,364 : x
  2. Step 2: Convert to fraction form
    390,275,352/770,680,364 = 770,680,364/x
  3. Step 3: Cross multiply
    390,275,352x = 770,680,364 × 770,680,364
  4. Step 4: Simplify right side
    390,275,352x = 593,948,223,455,172,480
  5. Step 5: Solve for x
    x = 593,948,223,455,172,480/390,275,352
  6. Step 6: Final answer
    x = 1,521,869,675.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.