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Finding the Third Proportional to 85,583,871 and 130,012,411.50

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Solution

The third proportional to 85,583,871 and 130,012,411.50 is: 197,504,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,583,871 : 130,012,411.50 = 130,012,411.50 : x
  2. Step 2: Convert to fraction form
    85,583,871/130,012,411.50 = 130,012,411.50/x
  3. Step 3: Cross multiply
    85,583,871x = 130,012,411.50 × 130,012,411.50
  4. Step 4: Simplify right side
    85,583,871x = 16,903,227,144,045,332
  5. Step 5: Solve for x
    x = 16,903,227,144,045,332/85,583,871
  6. Step 6: Final answer
    x = 197,504,821.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.