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Finding the Third Proportional to 328,144,837.50 and 507,938,222.25

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Solution

The third proportional to 328,144,837.50 and 507,938,222.25 is: 786,241,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,144,837.50 : 507,938,222.25 = 507,938,222.25 : x
  2. Step 2: Convert to fraction form
    328,144,837.50/507,938,222.25 = 507,938,222.25/x
  3. Step 3: Cross multiply
    328,144,837.50x = 507,938,222.25 × 507,938,222.25
  4. Step 4: Simplify right side
    328,144,837.50x = 258,001,237,622,490,400
  5. Step 5: Solve for x
    x = 258,001,237,622,490,400/328,144,837.50
  6. Step 6: Final answer
    x = 786,241,952.15

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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.