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Finding the Third Proportional to 234,440,913 and 344,637,025.50

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Solution

The third proportional to 234,440,913 and 344,637,025.50 is: 506,629,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,440,913 : 344,637,025.50 = 344,637,025.50 : x
  2. Step 2: Convert to fraction form
    234,440,913/344,637,025.50 = 344,637,025.50/x
  3. Step 3: Cross multiply
    234,440,913x = 344,637,025.50 × 344,637,025.50
  4. Step 4: Simplify right side
    234,440,913x = 118,774,679,345,487,648
  5. Step 5: Solve for x
    x = 118,774,679,345,487,648/234,440,913
  6. Step 6: Final answer
    x = 506,629,486.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.