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Finding the Third Proportional to 431,590,020 and 630,999,702

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Solution

The third proportional to 431,590,020 and 630,999,702 is: 922,543,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,590,020 : 630,999,702 = 630,999,702 : x
  2. Step 2: Convert to fraction form
    431,590,020/630,999,702 = 630,999,702/x
  3. Step 3: Cross multiply
    431,590,020x = 630,999,702 × 630,999,702
  4. Step 4: Simplify right side
    431,590,020x = 398,160,623,924,088,832
  5. Step 5: Solve for x
    x = 398,160,623,924,088,832/431,590,020
  6. Step 6: Final answer
    x = 922,543,630.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.