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Finding the Third Proportional to 387,537 and 831,130.50

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Solution

The third proportional to 387,537 and 831,130.50 is: 1,782,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,537 : 831,130.50 = 831,130.50 : x
  2. Step 2: Convert to fraction form
    387,537/831,130.50 = 831,130.50/x
  3. Step 3: Cross multiply
    387,537x = 831,130.50 × 831,130.50
  4. Step 4: Simplify right side
    387,537x = 690,777,908,030.25
  5. Step 5: Solve for x
    x = 690,777,908,030.25/387,537
  6. Step 6: Final answer
    x = 1,782,482.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.