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Finding the Third Proportional to 431,590,009.50 and 630,999,688.50

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Solution

The third proportional to 431,590,009.50 and 630,999,688.50 is: 922,543,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,590,009.50 : 630,999,688.50 = 630,999,688.50 : x
  2. Step 2: Convert to fraction form
    431,590,009.50/630,999,688.50 = 630,999,688.50/x
  3. Step 3: Cross multiply
    431,590,009.50x = 630,999,688.50 × 630,999,688.50
  4. Step 4: Simplify right side
    431,590,009.50x = 398,160,606,887,097,024
  5. Step 5: Solve for x
    x = 398,160,606,887,097,024/431,590,009.50
  6. Step 6: Final answer
    x = 922,543,613.44

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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.