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Finding the Third Proportional to 397,688,106 and 864,214,430

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Solution

The third proportional to 397,688,106 and 864,214,430 is: 1,878,020,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,688,106 : 864,214,430 = 864,214,430 : x
  2. Step 2: Convert to fraction form
    397,688,106/864,214,430 = 864,214,430/x
  3. Step 3: Cross multiply
    397,688,106x = 864,214,430 × 864,214,430
  4. Step 4: Simplify right side
    397,688,106x = 746,866,581,020,224,896
  5. Step 5: Solve for x
    x = 746,866,581,020,224,896/397,688,106
  6. Step 6: Final answer
    x = 1,878,020,915.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.