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Finding the Third Proportional to 401,478,140 and 613,756,636

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Solution

The third proportional to 401,478,140 and 613,756,636 is: 938,275,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,478,140 : 613,756,636 = 613,756,636 : x
  2. Step 2: Convert to fraction form
    401,478,140/613,756,636 = 613,756,636/x
  3. Step 3: Cross multiply
    401,478,140x = 613,756,636 × 613,756,636
  4. Step 4: Simplify right side
    401,478,140x = 376,697,208,234,036,480
  5. Step 5: Solve for x
    x = 376,697,208,234,036,480/401,478,140
  6. Step 6: Final answer
    x = 938,275,763.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.