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Finding the Third Proportional to 200,402,707.50 and 310,301,199

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Solution

The third proportional to 200,402,707.50 and 310,301,199 is: 480,466,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402,707.50 : 310,301,199 = 310,301,199 : x
  2. Step 2: Convert to fraction form
    200,402,707.50/310,301,199 = 310,301,199/x
  3. Step 3: Cross multiply
    200,402,707.50x = 310,301,199 × 310,301,199
  4. Step 4: Simplify right side
    200,402,707.50x = 96,286,834,100,837,600
  5. Step 5: Solve for x
    x = 96,286,834,100,837,600/200,402,707.50
  6. Step 6: Final answer
    x = 480,466,732.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.