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Finding the Third Proportional to 310,402,372 and 431,585,502

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Solution

The third proportional to 310,402,372 and 431,585,502 is: 600,079,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,402,372 : 431,585,502 = 431,585,502 : x
  2. Step 2: Convert to fraction form
    310,402,372/431,585,502 = 431,585,502/x
  3. Step 3: Cross multiply
    310,402,372x = 431,585,502 × 431,585,502
  4. Step 4: Simplify right side
    310,402,372x = 186,266,045,536,592,000
  5. Step 5: Solve for x
    x = 186,266,045,536,592,000/310,402,372
  6. Step 6: Final answer
    x = 600,079,323.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.