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Finding the Third Proportional to 72,730,569 and 161,603,689.50

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Solution

The third proportional to 72,730,569 and 161,603,689.50 is: 359,075,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,730,569 : 161,603,689.50 = 161,603,689.50 : x
  2. Step 2: Convert to fraction form
    72,730,569/161,603,689.50 = 161,603,689.50/x
  3. Step 3: Cross multiply
    72,730,569x = 161,603,689.50 × 161,603,689.50
  4. Step 4: Simplify right side
    72,730,569x = 26,115,752,460,012,412
  5. Step 5: Solve for x
    x = 26,115,752,460,012,412/72,730,569
  6. Step 6: Final answer
    x = 359,075,321.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.