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Finding the Third Proportional to 403,617,646.75 and 631,771,854.25

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Solution

The third proportional to 403,617,646.75 and 631,771,854.25 is: 988,895,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,617,646.75 : 631,771,854.25 = 631,771,854.25 : x
  2. Step 2: Convert to fraction form
    403,617,646.75/631,771,854.25 = 631,771,854.25/x
  3. Step 3: Cross multiply
    403,617,646.75x = 631,771,854.25 × 631,771,854.25
  4. Step 4: Simplify right side
    403,617,646.75x = 399,135,675,822,483,264
  5. Step 5: Solve for x
    x = 399,135,675,822,483,264/403,617,646.75
  6. Step 6: Final answer
    x = 988,895,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.