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Finding the Third Proportional to 520,258,018.50 and 760,852,500.75

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Solution

The third proportional to 520,258,018.50 and 760,852,500.75 is: 1,112,710,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,258,018.50 : 760,852,500.75 = 760,852,500.75 : x
  2. Step 2: Convert to fraction form
    520,258,018.50/760,852,500.75 = 760,852,500.75/x
  3. Step 3: Cross multiply
    520,258,018.50x = 760,852,500.75 × 760,852,500.75
  4. Step 4: Simplify right side
    520,258,018.50x = 578,896,527,897,528,704
  5. Step 5: Solve for x
    x = 578,896,527,897,528,704/520,258,018.50
  6. Step 6: Final answer
    x = 1,112,710,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.